{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "4ed81462",
   "metadata": {},
   "source": [
    "## 2.1 二维向量绘图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e5cb8967",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from vector_drawing import *\n",
    "dino_vectors = [(6,4), (3,1), (1,2), (-1,5), (-2,5), (-3,4), (-4,4),\n",
    "    (-5,3), (-5,2), (-2,2), (-5,1), (-4,0), (-2,1), (-1,0), (0,-3),\n",
    "    (-1,-4), (1,-4), (2,-3), (1,-2), (3,-1), (5,1)]\n",
    "draw(\n",
    "    Points(*dino_vectors)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3a40e13a",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(\n",
    "    Points(*dino_vectors),\n",
    "    Segment((6, 4), (3, 1))\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9da282e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习2.2\n",
    "arrow = [(0,0), (2,-2)]\n",
    "draw(\n",
    "    Points(*arrow),\n",
    "    Arrow(arrow[1], arrow[0])\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4098288b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习2.4\n",
    "draw(\n",
    "    Points(*dino_vectors),\n",
    "    Polygon(*dino_vectors)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "094ea72e",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(-10, 100), (-9, 81), (-8, 64), (-7, 49), (-6, 36), (-5, 25), (-4, 16), (-3, 9), (-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4), (3, 9), (4, 16), (5, 25), (6, 36), (7, 49), (8, 64), (9, 81), (10, 100)]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习2.5\n",
    "points_2_5 = list([(x, x**2) for x in list(range(-10, 11))])\n",
    "print(points_2_5)\n",
    "draw(\n",
    "    Points(*points_2_5),\n",
    "    grid=(1, 10),\n",
    "    nice_aspect_ratio=False\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55dd387b",
   "metadata": {},
   "source": [
    "## 2.2 平面向量计算"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3c88fedb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x560 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def add(v1, v2):\n",
    "    return (v1[0]+v2[0], v1[1]+v2[1])\n",
    "dino_vectors2 = [add((-1.5,-2.5), v) for v in dino_vectors]\n",
    "draw(\n",
    "    Points(*dino_vectors),\n",
    "    Polygon(*dino_vectors),\n",
    "    Points(*dino_vectors2, color=red),\n",
    "    Polygon(*dino_vectors2, color=red)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "f61f4cc1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import sqrt\n",
    "def length(v):\n",
    "    return sqrt(v[0]**2 + v[1]**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ec063d47",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-0.5, 1.5)\n",
      "(5.5, 2.5)\n",
      "(2, 1)\n",
      "(3.5, 2.5)\n"
     ]
    }
   ],
   "source": [
    "# 练习2.6\n",
    "u = (-2, 0)\n",
    "v = (1.5, 1.5)\n",
    "w = (4, 1)\n",
    "print(add(u, v))\n",
    "print(add(v, w))\n",
    "print(add(u, w))\n",
    "print(add(u, add(v, w)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7fa208b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 练习2.7\n",
    "def add_any(*vectors):\n",
    "    return (sum([v[0] for v in vectors]), sum([v[1] for v in vectors]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "87b5b939",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 练习2.8\n",
    "def translate(translation, vectors):\n",
    "    return [add(translation, v) for v in vectors]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "889261e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习2.9\n",
    "o = (0, 0)\n",
    "v = (1, 1)\n",
    "w = (-2, 3)\n",
    "v_w = add(v, w)\n",
    "draw(\n",
    "    Points(*{o, v, w, v_w}),\n",
    "    Arrow(v, o),\n",
    "    Arrow(add(v, w), v),\n",
    "    Arrow(w, o, color=blue),\n",
    "    Arrow(add(v, w), w, color=blue),\n",
    "    Arrow(v_w, o, color=green)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ba91cda2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x499.16 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习2.11\n",
    "def hundred_dios():\n",
    "    translations = [(12*x, 10*y) for x in range(-5, 5) for y in range(-5, 5)]\n",
    "    dions = [Polygon(*translate(t, dino_vectors), color=blue) for t in translations]\n",
    "    draw(*dions, grid=None, axes=None, origin= None)\n",
    "hundred_dios()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "afa5aa80",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 4)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 练习2.15\n",
    "max(dino_vectors, key=length)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4a4efb54",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 练习2.17\n",
    "def scale(s, v):\n",
    "    return (s * v[0], s * v[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "d6bf3cf4",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习2.19\n",
    "from random import uniform\n",
    "u = (-1,1)\n",
    "v = (1,1)\n",
    "def random_r():\n",
    "    return uniform(-3,3)\n",
    "def random_s():\n",
    "    return uniform(-1,1)\n",
    "\n",
    "possibilities = [add(scale(random_r(), u), scale(random_s(), v))\n",
    "                 for i in range(0,500)]\n",
    "draw(\n",
    "    Points(*possibilities)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "addffd92",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(13, 4)\n"
     ]
    }
   ],
   "source": [
    "def subtract(v1,v2):\n",
    "    return (v1[0] - v2[0], v1[1] - v2[1])\n",
    "def distance(v1,v2):\n",
    "    return length(subtract(v1,v2))\n",
    "# 练习2.26\n",
    "for n in range(-12, 15):\n",
    "    for m in range(-14, 13):\n",
    "        if distance((n, m), (1, -1)) == 13 and n > m > 0:\n",
    "            print((n, m))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8eae6ce9",
   "metadata": {},
   "source": [
    "## 2.3 平面上的角度和三角学"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "e313cc9a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.6197751905438615"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from math import tan, pi\n",
    "tan(45)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b22ef79b",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999999999999"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from math import tan, pi\n",
    "tan(pi/4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "a3edd040",
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import sin, cos\n",
    "def to_cartesian(polar_vector):\n",
    "    length, angle = polar_vector[0], polar_vector[1]\n",
    "    return (length*cos(angle), length*sin(angle))    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "e3055e09",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3.993177550236464, 3.0090751157602416)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from math import pi\n",
    "angle = 37*pi/180\n",
    "to_cartesian((5, angle))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "265ad721",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8414709848078965 1.0\n"
     ]
    }
   ],
   "source": [
    "from math import asin\n",
    "print(sin(1), asin(sin(1)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "0b4df284",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3.605551275463989, 2.158798930342464)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from math import atan2\n",
    "def to_polar(vector):\n",
    "    x, y = vector[0], vector[1]\n",
    "    angle = atan2(y, x)\n",
    "    return (length(vector), angle)\n",
    "to_polar((-2, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "1515fbf1",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5000000000000001 -0.8660254037844386\n"
     ]
    }
   ],
   "source": [
    "# 练习2.36\n",
    "from math import pi, sin, cos\n",
    "print(cos(10*pi/6), sin(10*pi/6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "01d4d20e",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习2.37\n",
    "points = [(cos(5*x*pi/500.0), 2*pi*x/1000.0) for x in range(0,1000)]\n",
    "points = [to_cartesian(p) for p in points]\n",
    "draw(Polygon(*points))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d17122b0",
   "metadata": {},
   "source": [
    "## 2.4向量集合的变换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "c646d9e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rotation_angle = pi/4\n",
    "dino_polar = [to_polar(v) for v in dino_vectors]\n",
    "dino_rotated_polar = [(l,angle + rotation_angle) for l,angle in dino_polar]\n",
    "dino_rotated = [to_cartesian(p) for p in dino_rotated_polar]\n",
    "draw(\n",
    "    Polygon(*dino_vectors, color=gray),\n",
    "    Polygon(*dino_rotated, color=red)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "e7c3099c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 练习2.42\n",
    "def rotate(angle, vectors):\n",
    "    polars = [(l, a+angle) for l, a in [to_polar(v) for v in vectors]]\n",
    "    return [to_cartesian(p) for p in polars]\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "b4608136",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7pvTtFFJ3tkbQ8OEEjUwiaORI9AkJF/2+i7ZBwoAQwu3VHy8QfM4UQUNCJ1+Hb3QUZ+5/gJoffiRzxgw6vfEGSnx8s/arKAqxjz7CyV/dTPnnnxORPIPAIUOaVcud+EZHEzZtGmHTpqGqKpaTmVSlb6MqPR3T9h3YjUYqvv6aiq/rDp7Ud+hQFwySkggcMaJFAUu4JwkDQgi3Zi0oqFtLQFEITEq67PaBV11F5xVpnL77HqynssicPoO4l19q9v7rV/Ure/998p74J10+WIWi0zW7nrtRFAVD1y4Yunah3cyZqLW11Pz0E1Xp6VRtS8e0bx/W7GzKVn1A2aoPADD06UPA8GEE+uiwT5gAGixzLFqXHDMghHBrpvR0oO5N2TciolGPMXTtSuJ7K/Dv1w9baSnZc+8i6MCBZvcQPe8hfEJCvGJVP8XXl4BBg4i67z46L32XXju2k/DmG7S7804MvXsD1H0flqTS8e23OTFqNKdS5lD02utU//gjqs3mkWszeDsJA0IIt+Y4pXDUpacIfs43OprO76YSNHYMak0N8UuXYXzvvWb14NuuHdG/fRA4u6pfE64G5+l8AgMJHjOG2D//ia5rVtNjy2bin3mGkF/+EmtYGFitmHbsoPD558m87XaODBvOkRFJFL3xpqtbF00gYUAI4bZUVaVqW93IQNBljhdoiE9QEAmvvELozb9CUVUKn/gnBc8+i2q3N7lWxIwZ+HWrW9Wv6L//bfLj2wrfqCjCbrie2L8v4uSCv9Dp009o/3+PETLpGnxCQrBXVWE3Gil5910ZIfAgzQ4DmzZtYtq0acTHx6MoCmvWrHF8zWq18uc//5kBAwYQFBREfHw8s2fPJscDT80RQriO+ehRagsLUQwGAq68slk1FF9fov/v/yi6dhJQd5pgzp/+jN1iaVqdc1b1K1mehuXEiWb106YoCn6dOxMxYwYdX3qJntvT6fjaa6DXYysqovyTT1zdoWikZoeBqqoqBg4cyMsvv3zB10wmE3v37uVvf/sbe/fu5aOPPuLIkSP84he/aFGzQgjvUj9FEDhkCD4GQ7PrKIpCycSJxDz+D/D1pfzTTzl9191NHu4PHj2K4KuvhtpaCp/+F8gn3/MoOh0h48cR/WDdlErBM89ir6pycVeiMZodBqZMmcLjjz/Or371qwu+FhYWxrp167jtttvo1asXI0aM4KWXXmLPnj1kZWW1qGEhhPf43xLETZ8iaEjojTeS8Ppr+AQFYdq5k1MzZ2LNzW1Sjdi//BlFr6d62zaCDh50Sl9tTbs5KegTEqgtKJBjBzxEq51aaDQaURSF8PDwi25jNpsxm82O2+VnU7vVasVqtTqlj/o6zqqnVU2t6npKzfq5RlVVve5nL6+nulqWqipMu3YBYBg+rEX7OLdPw7BhdEhdQs79D2A+eoyTt08n/pX/YujVq1G1lLg4wmbPpmzxYqI//QzLffdBUFCze7tYn87ikteTjw+Rf/wjeQ89RMk77xB8443oEzq6pFep2TiK6oQjPBRFYfXq1dx0000Nfr2mpobRo0fTu3dvli1bdtE6CxcuZNGiRRfcn5aWRmBgYEvbFB5k7ty5FBcXExkZyWIPXRdetEzA8eMkvPEmtcHBnHj0EfBx7vHOvqVldHjnHQz5+dgMBnLvuANTzx6NeqxiNtPl38/gW1FB4ZTJlI4f79Te2gRVpcNbiwk6dozKfn3JmT3b1R15HZPJRHJyMkajkdDQ0Etuq3kYsFqt3HrrrWRlZbFhw4ZLNtTQyEBCQgK5ublERka2tE1HP+vWrWPSpEnonbRQhhY1tarrKTUTExPJyckhPj6ezMxMp9T0lOcur6e6mkMOH6H87bcJnjqV9k8/pUmftvJy8ub9nupdu8DXl5hFCwlt5LFNpatXU/zY/6EEBtL500/wjY5uUY+X6tPdaja2ruX4cbJuvgVsNuLfeIPApBGt3qs31ywvLycqKqpRYUDTaQKr1cptt93GyZMn+e677y7bjMFgwNDAQUJ6vd6pL2JPqqlVXXevWb8OuqIobt2np9XUqq4WNc07dwIQMnq002r/vE99ZCSdFr9F7oJHKP/sMwoe/StqQQGRv/nNZdfiD7/xRs68+RYBp09T+uJLxD/1pFN6bKhPd615ubr63r2JSE6mdOlSiv71NF3XrEHxvfzbjqc8f3ev2ZQ6mq0zUB8Ejh49yjfffOO0T/ZCiLbPx2TCfHbFwKYuNtTkffn5Ef/vfxF5910AFL7wInmP/R9qbe0lH6f4+FB4Y90ognHNGqp/+EHTPj1V9IMPoAsPx3LsOKUrmrfok9Bes8NAZWUl+/btY9++fQCcPHmSffv2kZWVRW1tLbfccgu7d+9m+fLl2Gw28vLyyMvLw9LEc3uFEN4n8NhxUFX8undDHxur+f4UHx9i/vAHYv/2V/DxoWzVKk4/8MBlT4urSUgg5Oy0Qt4T/2zWYkZtnS4sjOh58wAofOklaktLXduQaFCzw8Du3bsZPHgwgwcPBmD+/PkMHjyYxx57jDNnzvDxxx9z5swZBg0aRFxcnOPPtrOnCgkhxMUEHj0KOO+UwsZqN3MmHV96EcXfn6qNmzg1O4XaoqJLPiZy3kP4BAZS8+OPGNd+3EqdepbwW2/B0Ls39vJyCl94wdXtiAY0OwyMHz8eVVUv+LNkyRISExMb/JqqqoyXo26FEJcReOwY0PphACBk4kQ6L3kHXUQENQcOkDl9BuYTJy+6vW90NFH33wdAwXPPYquURXZ+TtHpaP/oIwCUvb+KmkOHXNyR+Dm5NoEQwq1YT5/Gr6QEfH0JGjrUJT0EDBpE4oo09J06YT1zhlMzZmDau/ei20fMno2+cydshUUUv/5aK3bqOQKHDiVkymSw28l/4p9y3QI3I2FACOFWHJcsHjgQHyct5tMcfomJJK5Iw/+KK7AZjWTNuZPyr75ucFsfPz9i//wXAEqWpGI5dao1W/UYsQ8/jGIwYNq1i4qvvnJ1O+IcEgaEEG6lPgwEJiW5uBPwjYykc+oSgq++GtViIXvePEpSUxvcNnjCeIJGj0a1Wsl/6unWbdRD6OPjibyr7qyN/H/9C3t1tYs7EvUkDAgh3Ia9tpaqjZsALrtATWvxCQig40svEj5jOqgq+U8+Rf6TT11w5oCiKMQ+sgB8falcv57KzVtc1LF7i7xrLr5xcdTm5FK8+G1XtyPOkjAghHAbJW+9BWfXUy9LW+E2p6EpOh3tH3uM6D/MB6AkNZX8h/+E8rO13w1du9Ju5kwA8p98EtXJ1wNoC3wCAoj908MAFL/1Fla5tL1bkDAghHAbwddMwnDFFahA5WefceKGaRedp29tiqIQdffdxP/736DXU/n113R4azE2o/G87aIeuB9du3ZYTpygNC3NRd26t5DJkwkcOhS1poYz835/2QWehPYkDAgh3IZ/924kLF/G6Qfux69bN2zFxWQ/9BBnHpp32fP9W0vYtBvo9Oab+ISEEJiZyZlZs7GcyXZ8XRcaSvS8hwAofPm/1JaUuKpVt6UoClEP3A9AzY8/Upz6ros7EhIGhBBup6ZTJxLeX0nkfb8BX18qvvqKE9ffgPHjj93ilLSgEcPpkLoEa1gY1pMnyZw+neqfDji+Hn7zzRj69sFeUUHhf553XaNurGrrVgB0kZGE33Kzi7sREgaEEG5J8fMj5qGH6LLqfQx9+2AzGsn5058585v7sOblubo9DD161I1g9OyJraiIU7NnU7mp7uDHukV2HgWg7IMPqMnIcGWrbqe2tJSS5XVTKHH/+Ae+YWEu7khIGBBCuDX/Pn3osnIl0fPmoej1VG7cyIkbplG6apXLRwlqw8LomLqEoJFJqCYTp++7n7IPPgAg8KqrCL3+elDVuusWuMGIhrsoefsdVJMJ/759CZ4w3tXtCCQMCCE8gKLXE/Wbe+my+iP8B16BvbKSvL89xum5c8+br3cFn+BgEl57jbAbbwSbjdy//o3CF19CVVVi/vgHFH9/qvfsofzzz13ap7uoGxVYDkDUgw9c9lLRonU0Owxs2rSJadOmER8fj6IorFmz5ryvf/TRR1x33XVERUWhKIrj6oZCCNFchu7dSUxLI+bPf0YxGKjals6JX/yCkmXLXXrFQMXPj7innqw7xgEoeuUVch95FN+oKCLvuRuAgn8/g91kclmP7qLknSWoJhOGvn0InjDB1e2Is5odBqqqqhg4cCAvv/zyRb8+atQonnrqqWY3J4QQP6fodETeOYeua9cQOGQIqslE/uOPc2rWbMwnL35BIc37UhRiHnqI9n9fBDodxtWrOX3vbwi/7Tb0HTpQm5dH8VuLXdafO6gtLaV02TIAoh+QUQF34tvcB06ZMoUpU6Zc9OuzZs0CIDMzs9E1zWYzZrPZcbu8vBwAq9WK1UmLd9TXcVY9rWpqVddTatbPr6qq6nU/e3k9Na6m0qEDcYvfovz99yl67j9U79nDyZt+SbsHHyB81iwUnc4lfQb/8pfERUaR98c/ULVtG1lz7yL8rrkULvo7xYsXE3TjL9DHxzepphZ9uqJu8dtvYzeZ8OvdG8OYMRc81lOev6fVbAxFdcJRLYqisHr1am666aYLvpaZmUmXLl34/vvvGTRo0CXrLFy4kEWLFl1wf1paGoGBgS1tU3iQuXPnUlxcTGRkJIsXe/enKXF5viUlxH60mqCjRwGoTkgg/5ZbsLSPdVlPhjNn6PDOEnwrK7GGhVEbEkLAmTNUDBhA7h0zXdaXq/hUVdHl6X+hM5vJnj2Lqn79XN1Sm2cymUhOTsZoNBIaGnrJbZs9MqCFBQsWMH/+fMft8vJyEhISmDBhApGRkU7Zh9VqZd26dUyaNAm9Xu+2NbWq6yk1DQaD4++pU6c6paanPHd5PTWvpjpzJhVr1lD072cIOH2axJdeot299xIx99fUgkv6tE6ZSs7990HmKfysVlRFIWT/fnpFRRE4bFizamrRZ2vULX7xJUrNZvx69WLsH//Y4BSBpzx/T6lZP7reGG4VBgwGg+NN4Fx6vd6pL2JPqqlVXXevWf+LQlEUt+7T02pqVdddakbedhuh48aRt3ARlevXU/Lf/1L17bfE/H2RS/rUd+1C4ooVnLn/Aaq//x58fEBVKf7Xvwn98AMU34Z/BbvL99NZdW1lZRjPLs0c/eAD+Pn5tbhmU3ljzabUkVMLhRBtij42lo6v/Jf4Z55BFx6O+dAhTs9IJvKrr1Atllbvxzcigk7vvE3ItdfC2TMezIcPU/r++63ei6uUvPsu9qoqDL16ETJxoqvbEQ2QMCCEaHMURSHshuvp+tmnhEyeDDYbkd+tJ+vW26h2wWnOPv7+dPjPc0TMnuW4r+Cpp6ktLm71XlqbzWik5N2lAETdfz+Kj7ztuKNm/1QqKyvZt2+fY/2AkydPsm/fPrKysgAoKSlh3759ZJxdhvPw4cPs27ePPDdYRlQI4R18IyPp+Px/aP/cs9QGB2M9cYLMGcnkP/U09urqVu1F0elo/8gjxJy9fK9qsZA5fYZL10doDSWp72KvrMTQsychk65xdTviIpodBnbv3s3gwYMZPHgwAPPnz2fw4ME89thjAHz88ccMHjyY66+/HoDp06czePBgXnvtNSe0LYQQjRc8aRKZf5hPyC+mgapSsmQJJ268iaqdO1u9l8hf/5qo++uu2OcbFQVt+Fz7ulGBuisSyqiAe2v2AYTjx4+/5Frbc+bMYc6cOc0tL4QQTmUPDCT2iScIv/56cv9vIdasLLJmpxCRPIPo+X9AFxzUar1E/+63BA4fTuCwoW164Z2Sd5fWjQr06EHItZNc3Y64BIlpQgivEjxuHF0/+Zjw224DoDRtBSd+MY3KLVtbtY+g4cPadBCwlZf/b1TgARkVcHfy0xFCeB1dSAhxf19Ep3ferlsqOCeX03fdRc6jj2JrwrnZ4uJK3l2KvaICQ4/udWdSCLcmYUAI4bWCkpLo+vFaImbNAkXB+OFHnLj+Biq++87VrXm080YF5FgBjyA/ISGEV/MJCqL9o4/QedlS/BITqS0s5Mz9D5D9x4epLS11dXseqWTpUuzl5fh170bIdde5uh3RCBIGhBACCLzqKrqsWU3kXXPBx4fyTz/lxPU3UP7FF5c8WFqcz1ZRQUlq3ahAtIwKeAz5KQkhxFk+/v7E/PGPJK58D0OP7thKSsj+/Xyyf/c7agsLXd2eR3CMCnSTUQFPImFACCF+JmDAABI//LBuPQBfXyrWfcPxG6ZRtmaNjBJcgq2y0jEqEHXffeddRlq4NwkDQgjRAB8/P6J/91u6fLAK/759sRuN5P5lAcfGT6D8m29c3Z5bKl22DLvRiF/XroROmezqdkQTSBgQQohL8O/dm8T3VxJ99vLqtfn5lH/6mYu7cj+2ykqK31kCyKiAJ2p2GNi0aRPTpk0jPj4eRVFYs2bNeV9XVZWFCxcSHx9PQEAA48eP58CBAy3tVwghWp3i60v4zb9y3I79859d2I17Kl22vG5UoEsXQqdOcXU7oomaHQaqqqoYOHAgL7/8coNf/9e//sVzzz3Hyy+/zK5du2jfvj2TJk2ioqKi2c0KIYSrVKVvB8DQqxf6uPYu7sa92CqrKHnnHQCi7pdRAU/U7GsTTJkyhSlTGk5/qqry/PPP8+ijj/KrX9Wl6dTUVGJjY0lLS+Pee+9t7m6FEMIlqrZtAyBo5EgXd+J+Spcvx2Y04peYSOjUqa5uRzRDs8PApZw8eZK8vDyuPWcJSoPBwLhx49i2bdtFw4DZbMZsNjtul59dFtRqtWK1Wp3SW30dZ9XTqqZWdT2lZv0R26qqet3PXl5P7ldTVVWqttZdu8AwfNh5v5Pcqc/WqnluPXNZGcVnRwUi7rmHWrsdmnlZZk95/p5WszEU1QnnySiKwurVq7npppsA2LZtG6NGjSI7O5v4+HjHdvfccw+nTp3iq6++arDOwoULWbRo0QX3p6WlERgY2NI2hQeZO3cuxcXFREZGsnjxYle3I7ycvqCALs8+h93Xl+P/9xiqn5+rW3IbEes3EP3ll1iiosic/3uQKQK3YTKZSE5Oxmg0EhoaesltNRkZqPfzK3KpqnrJq3QtWLCA+WeP2IW6kYGEhAQmTJhAZGSkU3qyWq2sW7eOSZMmodfr3bamVnU9pabBYHD8PdVJw46e8tzl9eR+NcuWp1EEBF11FVPOfuhxxz5bq2Z93W8+/ZTY7enYgY7zf0/fadNaXNMTnr+n1CxvwkW3NAkD7dvXHVyTl5dHXFyc4/6CggJiY2Mv+jiDweB4EziXXq936ovYk2pqVdfda9aHRkVR3LpPT6upVd22XrNmxw4AgkePuuDx7tRna9cMT0/HXmZE37kT7X7xCxRf57yleMrzd/eaTamjyToDXbp0oX379qxbt85xn8ViYePGjYyUg2+EEB5EtVox7dwJyMGD57KbTERs2gxA1G/uc1oQEK7R7J9eZWUlx44dc9w+efIk+/bto127dnTq1Il58+bxz3/+kx49etCjRw/++c9/EhgYSHJyslMaF0KI1lD944/Yq6rQRUTg36ePq9txG8aVK/GtqkKfkEDYtBtc3Y5ooWaHgd27dzNhwgTH7fq5/pSUFJYsWcKf/vQnqquruf/++yktLWX48OF8/fXXhISEtLxrIYRoJVVbz55SmDRCrsB3lt1komzJEqDuDAIZFfB8zf4Jjh8//pIX7FAUhYULF7Jw4cLm7kIIIVxO1he4UOmK97CVlGKJjCTkhutd3Y5wAom5QghxEbbycqr37wckDNSzm0wUnz3dt2TCBBkVaCMkDAghxEVU7dgBNht+iYnoz1kzxZuVvrcSW0kJvh06UH7lYFe3I5xEwoAQQlyETBGcz15d7RgVaHfvPbLAUBsiYUAIIS7CEQZGSRiAs6MCxcXoO3Yk5AY5g6AtkTAghBANsJzJxnoqC3Q6AocNc3U7LnfuqEDUb+5F0WBBLOE6EgaEEKIBVdvqLkwUcMUV6OSUaEpXrsRWVIS+QwfCbrzR1e0IJ5MwIIQQDajalg7I8QIA9poax6hA5L33yKhAGyRhQAghfka12TClnw0DcrwAZe+/j62wCH18POFnL9Qk2hYJA0II8TM1GQexGY34BAcTMGCAq9txKXtNDUVvvglA5L33osjlm9skCQNCCPEz9WcRBA4f7vVD4mXvr8JWWIRvfBzhv7zJ1e0IjUgYEEKIn/nf+gJJLu7EtexmM8VnRwWi7pFRgbZM8zBQUVHBvHnz6Ny5MwEBAYwcOZJdu3ZpvVshhGgWe3U11Xv3AnLwYNn7q6gtLMQ3Lo7wX/3S1e0IDWkeBu666y7WrVvH0qVL2b9/P9deey3XXHMN2dnZWu9aCCGazLR7N6rVim98HH6Jia5ux2XOGxW49x4ZFWjjNL3CRHV1NR9++CFr165l7NixACxcuJA1a9bw6quv8vjjj5+3vdlsxmw2O26Xl5cDYLVasVqtTumpvo6z6mlVU6u6nlKz/oqYqqp63c9eXk+urVmxeQsAgSNGUFtb65SajeVONcveW0ltQQG+sbEETZt2wePdqVepeemajaGol7oOcQtVVFQQGhrKN998w8SJEx33JyUlYTAY2LBhw3nbL1y4kEWLFl1QJy0tjcDAQK3aFG5o7ty5FBcXExkZyeKz5zcL0Ro6/+d5DHl55CTPoHLgQFe34xKK1Uriv/6Nvryc/Jtuwpg0wtUtiWYwmUwkJydjNBoJDQ295LaahgGAkSNH4ufnR1paGrGxsaxYsYLZs2fTo0cPDh8+fN62DY0MJCQkkJubS2RkpFP6sVqtrFu3jkmTJqF30lHCWtTUqq6n1ExMTCQnJ4f4+HgyMzOdUtNTnru8nlxXs7awkMyrJ4Ki0GXjBnQREW7Zp9Y1y1a8R9E//4lvbCydP/+swSkCd+lVal5ceXk5UVFRjQoDml+IeunSpfz617+mQ4cO6HQ6rrzySpKTk9l79gCdcxkMBgwGwwX36/V6p/5S9KSaWtV195qKojj+duc+Pa2mVnXbSs3id94BwDc6GkN0tON12JKazeHKmnaLhbK33wbqVhv0CwpySt2mkJrOqdmUOpofQNitWzc2btxIZWUlp0+fZufOnVitVrp06aL1roUQotFMe/ZQujwNAF27di7uxnWMH35IbV4evrGxhN9yi6vbEa2k1dYZCAoKIi4ujtLSUr766itulAtdCCHchPnYMU7fdz/Y7QSOGEHHl15s1KhAW2O3WCh6/Q0AIu++Gx85g8BraD5N8NVXX6GqKr169eLYsWM8/PDD9OrVizvvvFPrXQshxGVZ8/PJuvse7OXlBAwaRMKrr+ATEODqtlzC+NFHdaMCMTGE3yqjAt5E85EBo9HIAw88QO/evZk9ezajR4/m66+/1mQuVAghmsJWXs7pu++hNjcXvy5d6OjFQeCCUYEGjt8SbZfmIwO33XYbt912m9a7EUKIJrFbLJx58LeYjxxBFx1Fwptv4nuJswfaOuNHq6nNzcU3Oprw2251dTuilcm1CYQQXke128n5858x7dyJT1AQnd54A7+OHVzdlsuoFgtFb7wOyKiAt5IwIITwOgVP/4uKL74EvZ6OL7+Ef58+rm7JpcpWr6E2JxdddJSMCngpCQNCCK9S/PY7lKSmAhD/z38SlOTdVyZULRaKX68bFYi6+258/P1d3JFwBQkDQgivUfH55xT8618AxDz8MGHTbnBxR65XtmYN1pycs6MCcnyXt9L8AEIhhHAHAceOkf/OEgAiZs+i3a/l9Oa6UYG6Mwii7rpLRgW8mIwMCCHaPPPhw8S/uxRqawmZMpnYv/zFKxcV+rmytWuxZmeji4oi/PbbXd2OcCEJA0KINs1yJpuc++5HZzbjP2QI8U89heIjv/pUq5Xi186eQTB3rowKeDn5HyGEaLNqS0s5fffd2AoLMbePJe6F5+W0ubOMH39cNyoQGUnEdBkV8HYSBoQQbZK9poYz9z+A5eRJfGNjyb7z1+gucxlXb6FarRS9+hpwdlTAS1ddFP+jaRiora3lr3/9K126dCEgIICuXbvy97//HbvdruVuhRBeTrXZyP7DH6n+/nt8QkOJe+1VasPDXN2W28hZ8AjWM2fwCQuTUQEBaHw2wdNPP81rr71Gamoq/fr1Y/fu3dx5552EhYXx0EMPablrIYSXUlWVvH/8g8pvv0Xx8yPhlf+i794djhxxdWtuQbXZqFi3DoDg0aPxCQx0cUfCHWgaBtLT07nxxhu5/vrrAUhMTGTFihXs3r1by90KIbxY8euvU/beSlAU4v/9bwKHDMFqtbq6Lbeh6HQEXHEFpl278B/Q39XtCDehaRgYPXo0r732GkeOHKFnz5788MMPbNmyheeff77B7c1mM2az2XG7vLwcAKvV6rT/zPV1nPnLQYuaWtX1lJqqqjr+9rafvbyeml+zfPUaCp9/AYCov/yFgKsnnPf7w136dHVNXceOsGsXtdXVzd6XJz9/b6vZGIpa/1tXA6qq8sgjj/D000+j0+mw2Ww88cQTLFiwoMHtFy5cyKJFiy64Py0tjUAZyvIqc+fOpbi4mMjISBYvXuzqdoQHCDx0mA6pqSh2OyXjx1E0ZYqrW3Jb0Z98SsSWLZSMG0fRVPk+tVUmk4nk5GSMRiOhlzl4VtORgZUrV7Js2TLS0tLo168f+/btY968ecTHx5OSknLB9gsWLGD+/PmO2+Xl5SQkJDBhwgQiIyOd0pPVamXdunVMmjQJvV7vtjW1quspNQ1nT/8yGAxMnTrVKTU95bnL66npNWt++onshQtR7XZCpt1AtyeeOG9RIXfp011qlpzKomTLFhJjYhjWzP9fnvz8vaVm/eh6Y2gaBh5++GH+8pe/MH36dAAGDBjAqVOnePLJJxsMAwaDwfEmcC69Xu/UX4qeVFOruu5es/4XuaIobt2np9XUqq4ra1pOnSL3gQdRq2sIGjWKDk88geLn53Z9ulNNff2ZFVWVLd6PJz5/b6nZlDqanlpoMpnw+dlKXzqdTk4tFEI4RW1xMVl334OtpARD3z50eOGFiwYB8T8+IXVDxraKShd3ItyFpiMD06ZN44knnqBTp07069eP77//nueee45f//rXWu5WCOEF7FVVnL73N1izstB37Ein119HFxzk6rY8gi4kGAB7E4aRRdumaRh46aWX+Nvf/sb9999PQUEB8fHx3HvvvTz22GNa7lYI0capVitn5v2emp9+QhceTsKbb+AbHe3qtjyGY2SgUkYGRB1Nw0BISAjPP//8RU8lFEKIplJVldzH/o+qzZtR/P1JeP01DF26uLotjyIjA+Ln5NoEQgiPUvjCCxhXrwYfHzr85zkCBg50dUsexydURgbE+SQMCCE8RumKFY7L7rZftJCQCRNc3JFn0gXXjQyo1dWosjqjQMKAEMJDVHzzDXn/eByAqAcfJOLWW13ckefyORsGQEYHRB0JA0IIt2fau5fsP/wR7HbCb72VqAfud3VLHk3x9XVcoMheUeHiboQ7kDAghHBr5uPHOX3f/ahmM8Hjx9P+/x47b3VB0Tw+ISEA2MolDAgJA0IIN2bNLyDr7ruxG434D7yCDs89i+Kr6UlQXkMXWhcG7JUSBoTGpxYKIURz2SoqyLnnHmpzcvHr3JmE115zDG2LlvMJrh8ZkNMLhYwMCCHckFJbS968eZgPH0YXFUXC4rfwjYhwdVttik/9yIAsSSyQkQEhhJtR7XZi319F9Q8/4BMYSMLrr+HXsaOr22pzdPUjAxUyMiBkZEAI4WaKn3uO0B9+AF9fOrz0IgH9+rm6pTZJRgbEuSQMCCHcRvGSJZSlvgtAzN8XETxqlIs7artkZECcS9MwkJiYiKIoF/x54IEHtNytEMIDGT/7jIKnngagcMpkQqdNc3FHbZuMDIhzaXrMwK5du7DZbI7bP/30E5MmTeJWWTlMCHGOqu07yP3LAgDCkpM5csUAF3fU9ulCZGRA/I+mYSD6Z5cUfeqpp+jWrRvjxo1rcHuz2YzZbHbcLj97yovVasXqpPWz6+s4q55WNbWq6yk1VVV1/O1tP3tvez2ZDx8h+8EHUa1WgiZNIuz38+C779yuz7ZWUz17mqatvLxZ+/P05+9NNRtDUet/62rMYrEQHx/P/PnzeeSRRxrcZuHChSxatOiC+9PS0giU84u9yty5cykuLiYyMpLFixe7uh2hEd/SMjq98gq+5eWYuiSSPXcuql7v6ra8QuChw3R85x1q4uPJeuh3rm5HaMBkMpGcnIzRaCT07JUqL6bVwsD7779PcnIyWVlZxMfHN7hNQyMDCQkJ5ObmEhkZ6ZQ+rFYr69atY9KkSeid9EtHi5pa1fWUmomJieTk5BAfH09mZqZTanrKc9fq9WQuKWHjJ58wITnZLXq1GY2cmZ2C9cQJ/Lp3o8OSVHRhoR7zPfX0mtX79pE9aza+HTuS+MXnbt2r1Gye8vJyoqKiGhUGWm2dgcWLFzNlypSLBgEAg8GAwWC44H69Xu/UX4qeVFOruu5es37teUVR3LpPT6mp2u2cmnMnXU6eJH/DRsKmTiEoKQm/swf5tlRTe7XX1JD9u4ewnjiBb2wsnd58E33U+YHf3b+nnl7TfnYRJ7WyskX78tTn7w01m1KnVcLAqVOn+Oabb/joo49aY3dCiJ9RfHywlZaiADW7d1OzezcAvnFxBCUlnf0zAt+oKM17UW02ch5+mOq9e/EJCSHhzTfQx8Vpvl9xPseFiioqUFVVLv7k5VolDLzzzjvExMRw/fXXt8buhBANSFj1PienXo+P1Ypf165YT5+mNjcX40cfYTwb1A29etUFg5FJBA4Z4vRrAaiqSv4TT1Cx7hsUvZ6O/30Z/549nboP0Tj1ZxNgs6FWV6PIcVleTfMwYLfbeeedd0hJScFXrjYmhMvo27en+JqJRH/xJbaKcrqv/46aQ4epSt9GVXo65oyDmA8fxnz4MCVLloBeT+DAgQSNGklQUhL+/fu3+IqBxW+8SWnaClAU4v/1NEHDhjnnyYkmUwICQKcDmw1bRYVcBMrLaf7u/M0335CVlcWvf/1rrXclhLiMstGjiT+QgTUri5LUVGL+8AeCR9et8ldbUoJpxw6qtqVTtW0b1uxsTLt3Y9q9m8IXXsQnOJjA4cMdIwd+Xbo0bd+r11D4n/8AELvgL4ROmeL05ycaT1EUdCEh2MrKsFdUQGysq1sSLqR5GLj22mtppRMWhBCXofr6EvXwH8n97e8oWZJK+C234Ne5MwC+7doROmUKoVOm1K3vcPp0XTBIT6dq+3bsRiOV335L5bff1m3fvj0Bw4cTEuBP7bBhl5z3r9y8mdy//hWAdnN/TbvZs7V/suKyfM6GAVt5hatbES4m4/ZCeJnAceMIGj2aqi1byH/6XyS88t8LtlEUBb9OnfDr1ImI6bej2mzUHDxE1bZtVKVvo3rPXmrz8qhYu5Y4IPO9lRh69Kg71iApiaChQ/EJCgKgev9PnHloHthshE6bRswf/tC6T1hclC4kBCtgr5Qw4O0kDAjhZRRFIXbBXzhx401UfvcdlVu2OqYKLvoYnY6A/v0I6N+PqHvuxl5TQ/XevZRv2UreV1/hn5OD+ehRzEePUpL6Lvj6EjBoIP59+2JcsxbVZCIwaQTxTzyO4iPXR3MXjjMKZGTA60kYEMILGbp1o93MZEpS3yX/yScJWrMapQnnJPv4+xM0ciR+Q4eys1dPrktKwrJ3r2NawXr6NNW791C9ew9Qdwpjx5deQvHz0+opiWbQ1V+sSEYGvJ6EASG8VNQDD2D85FMsx49TmpZGu5SUZtfSRUQQOnkyoZMnA2A5fZqqbdsoWZKK5dQpOr78ErrgYGe1LpzEJ1hGBkQdGa8TwkvpQkOJnvcQAIUv/5fakhKn1fZLSCDi9tvp9sXn9Ni6hYB+/ZxWWziPY2SgQsKAt5MwIIQXC7/5Zgx9+2CvqKDw+Rc02Yfv2WVvhftxjAzIZYy9noQBIbyYotPR/uxVRMtWraImI8PFHYnW9L+RgUoXdyJcTcKAEF4ucMgQQqdOBVUl74l/yrogXsQxMiAHEHo9CQNCCGIe/iOKvz/Ve/ZQ/nnTL2crPJNPSN1BnXY5gNDraR4GsrOzueOOO4iMjCQwMJBBgwaxZ88erXcrhGgCfVwckffcDUDBv5/BXl3t4o6a7+Rtt5E58w4sWVmubsXt6c5e415OLRSahoHS0lJGjRqFXq/niy++ICMjg2effZbw8HAtdyuEaIbIX/8afXw8tXl5FL/5lqvbaZaao0ep+XE/1Xv2kHXX3VT/8IOrW3JrcmqhqKdpGHj66adJSEjgnXfeYdiwYSQmJjJx4kS6deum5W6FEM3g4+9PzJ/+BEDx4sVYs7Nd3FHT1eYX1P3DxwdrVhaZM5LJ/9e/sdfUuLYxNyWnFop6mi469PHHH3Pddddx6623snHjRjp06MD999/P3Xff3eD2ZrMZs9nsuF1eXne6i9VqxWq1OqWn+jrOqqdVTa3qekrN+oPYVFX1up+9K19P/ldPIGDoUKp37SL3qaeJe+7ZFtfUos+LqdiyGYDg665D0emo+PRTSt5+m/JvviFg6hS36dNdatr9/ev+NpmwVFc36RLVbeH5e0vNxlBUDQ8d9j/7Qps/fz633norO3fuZN68ebz++uvMbuCqZQsXLmTRokUX3J+WlkagXGvbq8ydO5fi4mIiIyNZvHixq9vxKn65uXR+4UUUVeX0PXdT7UEjeZ2efwH/3Fxyp0+nYvAggg4eJOaj1ejPfrAoHZlE0eTJqAaDizt1EzYbPR95FIBj//cYdvk926aYTCaSk5MxGo2Enj0+5GI0DQN+fn4MGTKEbdu2Oe773e9+x65du0hPT79g+4ZGBhISEsjNzSUyMtIpPVmtVtatW8ekSZPQN2Et9tauqVVdT6mZmJhITk4O8fHxZGZmOqWmpzx3d3g9FT7+BMaVK/Hr2ZOEle9d9BOjOz3/2qJiMidMACBxw3p8z/7OsFVUUPjvZ6hcvRoA3/h4YhYuJDBphEv6dLeaxwYNBpuNyHkPETx16iUvRe3qXqVm05SXlxMVFdWoMKDpNEFcXBx9+/Y9774+ffrw4YcfNri9wWDA0EBi1+v1Tv2l6Ek1tarr7jUVRXH87c59elrNxtaNmfcQFV9+ieXIEarWrCFixowW12yqptY07d4NgKF3bwLat/9fnXbtaP/3RWyIbEfiF19Qm51Dzj33EH7rLcT86U/ozl65r7X6dKeadosFbDYAip9/geLnX8AvMfF/l6IePtxxxoGre5WazavVWJoeQDhq1CgOHz583n1Hjhyhc+fOWu5WCNFCvhERRP/2twAUPv8CtrIy1zbUCFVnRyCDRo5s8OumHj3o9NFHRNxxBwBlqz7gxA3TqFi/vtV6dDeKTkfkb35D8DUT8e/fH3Q6LJmZlKatIPu3v+PIiCRO3n47Bc8/T9WOnXXhQbRJmo4M/P73v2fkyJH885//5LbbbmPnzp288cYbvPHGG1ruVgjhBBHTb6ds5UrMR49S+PJ/af/XR13d0kWpqnrZMADgExhI+78+Sujk68h99K9YTp3izH33EzptGrGPLPC66ygoOh0xZy9WBXVTKqZdu6jauo2q9HQsJ05Q88OP1PzwI8WvvY7i70/gkCEEJSVhGDYU7HYXdi+cSdMwMHToUFavXs2CBQv4+9//TpcuXXj++eeZOXOmlrsVQjiB4utL7KOPkDXnTkpXrCD8tlvx79nT1W01yHLiBLX5+Sh+fgQOueqy2wcOGUKXtWsofOklSt5ZQvknn1C1bRvt//Y3Qidf1woduyddSAghV19NyNVXA2DNy6MqfTtV6XXhwFZYRNWWLVRt2QJA16Ag8jZtImTUKIKSktB36ODK9kULaBoGAG644QZuuOEGrXcjhNBA0IgRhEyaRMW6deQ/+SSd3n7bcTyHO6naWjcqEHDVlficPYvpcnz8/Yl9+GFCr7uO3EcfxXz0GNnz5lF+7bW0f+xv+EZFadmyR9C3b0/4L28i/Jc3oaoq5qNHMaWnU7UtnaqdO/GtqqLyiy+p/OLLuu07dyIoKYmgpJEEjRiOLizMxc9ANJbmYUAI4dli/vwnKjduxJS+nYpvviF00iRXt3SBxkwRXEzAFVeQ+OGHFL/2GkVvvEnF119j2rGD2EcfIXTaNLcMP66gKAr+PXvi37Mn7VJSsJhMrH/jTQYqULNjJ9U//ID1VBZlp7Ioe28lKAr+/fvXhYORSQQMHoyPnNLptuRCRUKIS/Lr2JF2v74TgIKn/4X9nNN/3YFqtWLauRNoXhgA8PHzI/p3v6PLqvcx9O2DzWgk509/5sxv7sOal+fMdtsMRa+npksikfffT2Lacnru2E7HV14hYtYs/Lp3A1WlZv9+it94g6w5d3Jk2HCyfj2X4sWLqcnIQJXjDdyKjAwIIS4r6p57MK5eg/XMGUreWULUb+51dUsO1T/8gN1kQhcRgX+fPi2q5d+nD11WrqR48dsU/fe/VG7cyIkbphHz5z8RfsstMkpwCbrgYEKunkDI1XVrPVjzC6hK3+aYVqgtLKRq2zbHKI4uPJzApBFnRw5G4texoyvb93oSBoQQl+UTGEjMH/9IzsMPU/TGG4T98ib0sbGubgs4Z4ogaQSKT8sHOxW9nqjf3EvINRPJefRRan74kby/PUb5558T949/yJtWI+ljYwi/6SbCb6o73sBy/HjdsQbp6Zh27MBWVkbFF19SUX+8QadOBAwfTrCfH7aRI9FHR7v4GXgXmSYQQjRK6A3XEzB4MKrJRMEzl75mQWuqP3iwuVMEF2Po3p3EtDRi/vxnFH9/TOnbOfGLGylZtlyGuJtIURQM3bvTbvYsEl59hZ47ttM5bTlRDz5IwFVXga8v1qwsyletIn75ck6OHcfJm2+h4NlnqUpPd7upqbZIwoAQolEURSH20UdBUSj/5BNMe793dUvYysup3r8fcH4YgLOL8tw5h65r1xA4dCiqyUT+449zatZsLE5aJtsbKXo9gVdeSfSDD5C4fBk9t2+n42uvEnbHHZhjY+uONzhwgOI33yLrzl+fPd7g1xS9+SbVPx1APbtqonAemSYQQjRaQP9+hN38K4wffEj+E0/QIW25S/up2rED7Hb8unRBHx+v2X78OnemU+oSylaupODfz1C9Zw+nb7mViIlXo157LWiwbLQ30QUHETJ+PP6jRrFrQH+uHToUy+7dddMK27ZRW1Bw9t/pFPIcurAwAkeMIGjkSIJGJuGXkODqp+DxJAwIIZokZt48Kr78ipoDB6hYuxZceLpYS04pbCrFx4eIGTMIHjuW3Mf+j6qtW4n+/AvOZJ0m/p9PuO2CTJ7INzqagF/8grBf/KLueIOTJx2rIpp27MBmNFLx1VdUfPUVAPqOHR2nMAaOGOF1K0k6g0wTCCGaxDcqiqj77wfqLm7jU13jsl4cYWCU9mGgnr5DBxLeepOYv/8dm78/5p9+4uTNt1D4yiuoTrwWvaijKAqGrl1pN+sOEl75b93xBivSiPrdbwkcMgT0eqxnzlC2ahXZv5/P0ZGjOPmrmyl45hkqt27FXuO616cnkZEBIUSTtbtjJmWrVmE5eZJ2334LN/+q1XuwnMnGeioLdDoChw1r1X0rikLoL28i3VzDgK1bMW3YSNGLL1Hx9TrinnicgH79WrUfb6L4+hI4eDCBgwfD/fdjr6rCVD+lkJ6O+cgRajIyqMnIoPitxSh+fnRMSKAkJ4fQ0WPw79sHRadz9dNwO5qODCxcuBBFUc770/6cS4sKITyT4udH7IK/ABCxeTOlqanUlpS0ag9V27YCEDBwILrg4Fbddz1baChxL75I/DPPoAsPx3zoEJm33U7Bf56XI+BbiU9QEMHjxhG74C90/XgtPTZvIv7f/ybsV7/Ct317VIuFwOPHKXnhRTJvvZUjI0dx5ncPUfree1hOnUJVVVc/Bbeg+chAv379+Oabbxy3dZLIhGgTgseORde+Pba8PIqfeZbiZ57F0KfP2bXpkwgcchU+AQGa7b9qWzrQOscLXIqiKITdcD1BSSPIe/xxKr74kuLXX6fim2+If+JxAgYNcml/3sY3OpqwaTcQNu0GVFXFdPQouxa/TdeKCqp37sRuNFLx9ddUfP01APr4eAJHJhE8cmTd8Qbt2rn4GbiG5mHA19dXRgPchKqqVFVVYbPZsFgsTkvEFouF2tpaSdheKHLeQ5x+9jmCQ0KwnjiB+eBBzAcPUvL22yh6PQGDBxM0sm6FOf9+/Zw2PKvabJjS3SMM1PONjKTjf/5D+dSp5C36O5bjx8mckUy7lBSiH/qdpsFINExRFPy6dME4Mom4qVPxVRRqDhw4uxJiOqZ9+7Dm5GD84EOMH3wI0KqB1p1oHgaOHj1KfHw8BoOB4cOH889//pOuXbs2uK3ZbMZ8ztBaeXk5AFarFauTDsypr+OselrV1KJuSUkJr732GgD7z56b7UwTJ0502nKt9cFCVVWv+9l7yusJIODaazmlKEyaNAmlvJzqnTsxpW+nOj2d2rw8TDt3Ytq5k8LnX8AnJISAYcMIHDGcgBEj0Hfu3ODrpTF91hw4gM1oxCc4GN8+vS/7nFrz5xQwfjydBg+m6F//puLjjylZsoSKb78lZtEiAoYOcZs+3bGu5jX1enz79iWsb1/C7roLu8lE9d69VG/fjmn7DiyHD58XaNHrCRg0iICkEQSOGIGhb18Unc7jnntjKKqGH+e++OILTCYTPXv2JD8/n8cff5xDhw5x4MABIiMjL9h+4cKFLFq06IL709LSCAwM1KpNr2C1Wjl27Nh5YcvZOnfuTISTTumZO3cuxcXFREZGsnjxYqfUFK1IVdEXFxN49BiBx44SePw4up+ddWANC8PUozumHj0wdeuGLSSk0eUj1q8n+suvqOzbl5yU2c7u3mkCDx0m9qOP0BuNAJSNGEHh1CmocvU+t6SrqCDw+PG61+3Ro46fWz1bgD+mrt3qXrfdu2ONigI3vl6FyWQiOTkZo9FIaGjoJbfVNAz8XFVVFd26deNPf/oT8+fPv+DrDY0MJCQkkJub22B4aA6r1cq6deuYNGkSeictFKJFTWfWraioYPny5ZSUlBAcHEyHDh2YPHmy03pdv349e/bsISAggHvvvdcpwS0xMZGcnBzi4+PJdNJKb57ys3f311Nzaqo2G+aDBzFtrxs1qP5+H/zsU4tfz54EjhiB39AhbC0r45rrr79ozey5c6neuYuoRx4hfMZ0p/XZFI2taa+spOi5/1C+alXdHX5+hEyeTNhtt2Lo1w/F938DtPJ6cp+aqqpizcqqGzVI3153vEFFxXnb6Nq3JzApqW60a/hwfFvwPqXFcy8vLycqKqpRYaBVTy0MCgpiwIABHD16tMGvGwwGDA0kZr1e79QXsSfVbGnd8vJyRxAICwsjOTmZ9PR0goKCnNbrxIkT+emnn6iuruabb77h5ptvbnHN+uFjRVE84ufkKTW1qnvZmno9foMHEzJ4MNx3H/bqakx79lKVXreQjDnjIJYjR7AcOQLvvkt3nY78tR8TMmokQUlJ+Pfv73jTtFdXU/P9PgBCx4xu0nNxyXOPiKDDP/5O+PVTOfPAg9irqqj4+GMqPv4Yn+BgAocPrzuuImkkvh07uK5PN6rrLjX9uncnqHt3uOMOVJvt7PEG6VRu20rVnr2Ql0fF6tVUrF4NgKFXr7rjDUaNJPCqq/BpxgcjZz73ptRp1TBgNps5ePAgY8aMac3deq3y8nJSU1MdQSAlJYVgDU7B8vX1pXPnzhw9epSffvqJvn370qeFl5IVbZtPQADBo0cRPHoUALUlJZi2b6cqPZ3KrduozcmhZvduanbvpvCFF//3ppmUhOLnh2q14hsfh19iomufSBMEjRhB5/dWUPDU0yh6Pabvv8duNFL57bdUfvstAL6xscR27EiFXSV09Ch85cp9bkPR6Qi44goCrriCsLm/5os1axgXE0PNjp11gfbgQcyHD2M+fJiSJUvAxwddu3YYunahU2qq21/+WtMw8Mc//pFp06bRqVMnCgoKePzxxykvLyclJUXL3QrODwLh4eGkpKQQHh7u9IOI6gUGBpKUlMS2bdv49NNP6dSpE0FBQZrsS7Q9vu3aETp1KqFTp2KxWPhm2TKGGfyp2bmTqu3bL3jTBNDHxbv9L9if8+/Rg06L3wLqpk5qMg5SlZ5OVfo2qvfspTY/n7D8fPL37CEfMPTo4Vh/P3DIEHzk/5TbUP38CBg6FL+oKPw6d8a0Zw/Ve/ZgzckBVQW7HVtREdXl5R7xOtU0DJw5c4YZM2ZQVFREdHQ0I0aMYPv27XTu3FnL3Xo9o9FIamoqpaWl5wUBrY0ePZpjx45RUFDAF198wS233KL5PkXboygK1shIwqZOJWpm8gVvmqbtO0BV8e/r2aNPik5HwID+BAzoT9Q9d2OvqaFi5y5+Wr6cuIICzIcOYT56FPPRo5SkpoKvLwGDBp497W0kAVcMOO94A6EttbYW8/ET1Pz0E6YffyRh2zZO/O0xVIvlgm11ERH4deuGT2AAhi5dXNBt02n6Snrvvfe0LC8a8PMgMGfOHMLCwlpl376+vtx444289dZbHDhwgD59+tBPlmUVLfTzN83asjLKVq0idOpUV7fmVD7+/gQmjaCotIRhU6eiVFZi2rHDceU+65kzVO/eQ/XuPRS99DI+QUGOqZOgkUn4de3qEZ9APYFqs2HJzKTmp5+o/ukANT/9RM3Bg6jnXOcgAFABn9BQAvr3w79ff/z79yegfz984z1v1EpiZRtSVlZGamoqZWVlREREkJKS0mpBoF58fDxjxoxh06ZNfP755yQmJsp0gXAq3/Bwou6+29VtaM43IoLQyZMJnTwZAMvp0471903p6diMRiq/+47K776r2z4m5n9X7ktKQh8T48r2PYZqt9edNVD/pv/TT9RkZGA3mS7Y1icoCP9+/fDr24cMi4WkO+4goEsXj3vjb4iEgTbi50Fgzpw5lz2VRCtjx47l8OHD5Ofn89lnn3Hrrbe2if8sQriSX0ICfrcnEHH7bah2OzUHD2JKrxs1MO3eQ21BAca1azGuXQuAoUd3ApOS8B82DEWukwCcPV0wO4ean/b/71P/gQMXnDIIoAQE4N+nDwED6j7x+/frj19iZxQfH6xWK5Wff44+IaHN/G6TMNAGlJWVsWTJEoxGI+3atSMlJcVlQQDqrj9x00038eabb3Lw4EEOHDhA//79XdaPEG2N4uNDQL9+BPTrR+Rdd2GvqaH6++8dIwc1Bw5gPnoM89Fj8O5Suvv4cGb1GoJHjSJoZBIBAwagaHCaoTtRVZXa/Hwq9/1A5FdfkfPxx5gPZGArK7tgW8XPD0Of3gScHer3798PQ9euXnVMhvc80zaqtLSU1NRUtwkC9dq3b8+YMWPYuHGjY7pAi9MahRB1xxvUr6cPYCsro2r7jrqDLrdtw3r6NDXff0/N999T9PLL+AQGEjhs2Nn1DZLw697d4z/h1hYWUv3TT9ScHe6vPnAAW1ERAJGAY9Bfr8e/Z0/Hm35A//4Yundv8+HociQMeLBzg0BkZCQpKSmENGFJV62NGTOGw4cPk5eXx6effsrtt9/u8b9whPAEuvBwQidfR+jk67BarXy9bBnDAwIw79xJVfp2bKWlVG7YQOWGDUDdlf7qjzUISkpCHxvr2idwGbWlpY75/fq5/tr8/As31Onw696dwtAQuk+eTNAVAzH06omPn1/rN+3mJAx4qJKSElJTUykvL3fLIAD/my544403OHz4MPv37+eKK65wdVtCeJ3adu0ImzoV/fTpqHY75kOHzo4apGPavZvawkKMaz/GuPZjAPy6dTt7MOJIAocNRefCUT2b0UhNRkbdp/79dQHAmpNz4YaKgqF7t/OO6jf07o1Np+Onzz/nqqlTNVmBsa2QMOCBzg0CUVFRzJ492+2CQL3Y2FjGjRvH+vXr+eKLL+jSpYvb9iqEN1B8fPDv2xf/vn2JnDsXu9lM9ff7HFMKNT/9hOX4cSzHj1O6bBmcXXmv/kyFgCuuQNHok7W9spKAEycoTU3FmnGQ6gM/YT2V1eC2fl26ON70/fv3x7937wYXZbJptNBaWyNhwMOUlJSwZMkSKioqiIqK0myJYWcaPXo0hw4dIjc3l08//ZTp06fLdIEQbsLHYCBoxHCCRgyH38/DZjRStaPueAPTtnQsp05R/f33VH//PUWvvIISGEjQ0KH4Dx+Gn9VKc691ZzeZqDl06OxQf91cv+XkSRJUleKfbatPSHDM7/v3649/v77o5EOFU0kY8CDFxcWkpqZSUVFBdHQ0s2fPdvsgAODj4+OYLjhy5Ag//PADgwYNcnVbQogG6MLCCL32WkKvvRYAa3a2Y0qhavt2bCUlVG7cSOXGjSQCme8urVsy+ezIgb59+wtq2s1mzIcPnzfUbz5+HOz2C7a1hocTPuQqAgdcURcA+vVD1worqHo7CQMeori4mCVLllBZWelRQaBeTEwM48eP59tvv+XLL7+ka9eubnHWgxDi0vQdOhB+yy2E33JL3fEGR47UXblv61Yqd+6E4mLKP/mE8k8+AcCva1cMvXqhCw9Dra6h5shhzEeOQm3tBbV9Y2LOO6pf17MnX+/YwVSZ3291rRYGnnzySR555BEeeughnn/++dbabZtQXFzM8uXLqaysJCYmhtmzZ3vkqn4jR47k0KFDZGdn88knn5CcnCzTBUJ4EMXHB//evfHv3ZvQWXfwxccfMy4u7uxZCunU7P8Jy4kTWE6cuOCxunbt8B/Q/3/n8vfrhz72/FUStbqQmri8VgkDu3bt4o033pAjyZuhpqaGZcuWUVVV5dFBAOqmC2688UZef/11jh07xr59+xg8eLCr2xJCNJPq60vg0KGEjRwJ8+ZhKy/HtHMnhS++hCUri7AbbyRo1EgCBgzAt317Cf9uTPMwUFlZycyZM3nzzTd5/PHHtd5dq1NVFYvFgtVqxWKxNPtgmobk5eVx9OhRbDYbsbGxzJo1y2ODQL3o6GgmTJjAN998w1dffUXXrl1b/foJwr05+/+RaD260FBCrrmGkGuucXUrook0DwMPPPAA119/Pddcc81lw4DZbMZ8zhra5eXlQN3QkbOGj+rrOKuexWLhmWeeAeDAgQNOqflzUVFRzJgxAz8/vxb37ezn35yaQ4YM4eDBg2RnZ7N27doGzy6ofzNQVdVtf/aeVFOrus6uWVFRwSuvvIJer2fcuHFOOy7GE567J9XUqq7U1KZmYyiqhhH8vffe44knnmDXrl34+/szfvx4Bg0adNFjBhYuXMiiRYsuuD8tLY3AwECt2mwRo9HIyZMnNd1H37598WtjK2bV1NRw+PBhVFUlISGByMjI874+d+5ciouLiYyMZPHixS7qUrSm2tpajhw5guXs9eH79OmDwWBwcVdCeC6TyURycjJGo/GyB2xrNjJw+vRpHnroIb7++mv8/f0b9ZgFCxYwf/58x+3y8nISEhKYMGHCBW8WzWW1Wlm3bh2TJk1q8dGqmZmZvP/++wAEBweTkpJCQECAM9pEVVW2bduG0Whk6tSpTgsDznz+La25c+dOvvnmG/Lz8/nFL35x3nRB/ZuAwWBgqpOuW+9Oz721a2pV11k1q6uree+99xxBICIightuuMHt+pSa2taVms6tWT+63hiahYE9e/ZQUFDAVVdd5bjPZrOxadMmXn75ZcxmMzqd7rzHGAyGBj8J6PV6p59m0tKaJ06c4P3336e2tpZu3boRFBREWFiYU/ucMGECn3/+OX5+fm73/J1RMykpicOHD3P69Gk+//xzZs2a5ZguOPdvV/fZlmpqVbclNeuDQG5uruO+6Ohot+tTarZeXanpnJpNqePjlD02YOLEiezfv599+/Y5/gwZMoSZM2eyb9++C4KAJzlx4gQrVqygtraWHj16cPPNN+Pjo9m3ss2qP7vA19eXkydPsnv3ble3JFpZdXU1S5cuJTc31zH6FRYW5rQRNiFE42j2DhYSEkL//v3P+xMUFERkZKRHX9v++PHjjiDQs2dPbrvtNny96JrXzhYZGck1Z488XrduHaWlpS7uSLSW6upq3n33XXJzcwkMDCQhIQGoO1ZATkETonXJx9kmOHbsmCMI9OrVi1tvvVWCgBMMGzaMzp07Y7Va+fjjj+W0Mi9gMpl49913ycvLIygoiOTkZLKy6i5I06dPHxd3J4T3adV3sg1nr53tiY4dO8Z7772HzWZzBAFPnupwJ4qicOONN/Lqq6+SmZnJrl27XN2S0FB9EMjPzycoKIiUlBQKCwuxWq2Eh4fTvoG17YUQ2pKRgUY4evSoIwj07t1bgoAGIiIiHNMF33zzjVy3oI1qKAhER0c71ujo16+fTBEI4QISBi7jyJEjrFy5EpvNRp8+fbjlllskCGhk6NChJCYmYrVaGTt2rLwptDFVVVWkpqaSn59PcHAwc+bMITo6GovFwpEjR4C6MCCEaH0SBi7hyJEjvP/++44gcPPNN0sQ0FD9dIGfnx9xcXEMGzbM1S0JJ6mqquLdd9+loKDAsSZHVFQUUDfyVltbS0REhEwRCOEiEgYu4vDhw44Rgb59+0oQaCXh4eFMmjQJgGuuuUauW9AG1I8INBQEAJkiEMINSBhowKFDh3j//fex2+3069ePX/3qVxIEWtFVV13FmTNn0Ov1jB07Frvd7uqWRDNVVlaSmppKYWEhISEhzJkz57wgYLFYOHr0KCBTBEK4koSBnzl06BCrVq2SIOBCiqKwefNmzGYz7du3Z/v27a5uSTTDz4NASkrKBcuKHzlyhNraWtq1a0dsbKyLOhVCSBg4x8GDBx1BoH///vzqV7+SlQVdpLKykq+++gqA9evXU1RU5OKORFNUVFSQmppKUVERoaGhzJkzp8Hri9RPEfTt21emCIRwIXmnOysjI4MPPvgAu93OgAED+OUvfylBwMX27t3L6dOnqa2tZc2aNTJd4CF+HgRSUlJo167dBduZzWaZIhDCTci7HRcGgZtuukmCgJvYvHkzBoOB7Oxs0tPTXd2OuIz6IFBcXExYWBhz5sxpMAhA3RSBzWYjMjJSpgiEcDGvf8c7cOAAH3zwAaqqcsUVV0gQcDNVVVVcd911QN10QWFhoYs7EhdTXl7OkiVLHEEgJSWFiIiIi26fkZEByBSBEO7Aq9/1Dhw4wIcffoiqqgwcOJAbb7xRgoAbGjRoED169MBms8l0gZuqHxEoKSlpVBCQKQIh3Ium73yvvvoqV1xxBaGhoYSGhpKUlMQXX3yh5S4b7dwgMGjQIH7xi19IEHBTiqJwww034O/vT05ODlu3bnV1S+IcFouFZcuWUVJSQnh4OHPmzLlkEIC6dTxsNhtRUVHExMS0UqdCiIvR9N2vY8eOPPXUU+zevZvdu3dz9dVXc+ONNzqOIG5tqqpisVgoLi5m7dq1jiAwbdo0CQJuLjQ0lMmTJwN1F7zKz893cUcC6qYGjh07RmlpKeHh4aSkpBAeHn7Zx8kUgRDuRdOrFk6bNu2820888QSvvvoq27dvb3Bo0Gw2YzabHbfLy8sBsFqtWK3WFvdjsVh45plnHLcHDhzIlClTsNls2Gy2Ztet780ZPWpd11Nq1l/GWFVVR90+ffpw4MABjh49ypo1a0hJSWnSGhCe8tw95fVkNBpZtmwZFouFsLAwZs6cSVBQ0GXr19TUcOzYMQB69ux5wfae8j315ppa1ZWa2tRsDEVtpYvH22w2Vq1aRUpKCt9//z19+/a9YJuFCxeyaNGiC+5PS0sjMDCwxT3U1tby008/AXVXyevUqZN8KnFTc+fOpbi4mMjISBYvXuy432q1cujQIWw2G+3bt5e17F3EYrFw7NgxLBYLfn5+dO/eHT8/v0Y9tqSkhKysLAwGA71795b/g0JoxGQykZycjNFovOyVYDUdGQDYv38/SUlJ1NTUEBwczOrVqxsMAgALFixg/vz5jtvl5eUkJCQwYcKEBhcsaSqLxeIIA7NmzSI4OLjFNaHuDWrdunVMmjQJvV7vlJpa1fWUmgaDwfH31KlTz/ta9+7dWbt2LQUFBVx//fWNPi3NU567u7+eysrKWL58ORaLhfDwcOLj47n++usbXfP9998H6q5SOXbsWM36lJra1dSqrtR0bs360fXG0DwM9OrVi3379lFWVsaHH35ISkoKGzdubDAQGAwGx5vAufR6vVO+OecOgvj5+Tn1PwY4r8/WqOvuNes/LSqKckHNgQMHcvjwYQ4dOsRnn33GXXfd1aTpAnd/7lrWbGnd+iBgNBpp164dycnJbNmypdE1a2pqOHHiBAADBgy45GM85XvqzTW1qis1nVOzKXU0P2qufghxyJAhPPnkkwwcOJAXXnhB692KNkxRFK6//noCAgLIy8tj8+bNrm7JK5SWlrJkyRJHEEhJSbns0OPPHTp0CLvdTnR0tJxFIIQbafVD6FVVPe8gQSGaIzg42DF9sHnzZnJzc13cUdtWWlpKamoqRqORyMhI5syZ0+QgAP87i0DWFhDCvWgaBh555BE2b95MZmYm+/fv59FHH2XDhg3MnDlTy90KL9GvXz/69u2L3W5nzZo1LTojRFxcSUmJY0QgMjKSlJQUQkJCmlynurqa48ePA1z0uCEhhGtoGgby8/OZNWsWvXr1YuLEiezYsYMvv/ySSZMmablb4SUURWHq1KkEBgZSUFDAxo0bXd1Sm1NSUkJqairl5eVERUU1OwhA3UJDdrudmJgYoqOjndypEKIlND2A8NxTwoTQQlBQENdffz2rVq1iy5Yt9O7dm/j4eFe31SbUjwhUVFQ4gkBLzsA593LFQgj3IsvuCY/Xt29f+vXrh6qqrFmzhtraWle35PGKi4sdQSA6OrrFQaC6utpxFoEcLyCE+5EwINqEqVOnEhQURGFhIRs2bHB1Ox6tuLiY1NRURxCYPXt2i9fkqD+LIDY2lqioKCd1KoRwFgkDok0IDAzk+uuvB2Dbtm1kZ2e7uCPPVFRU5NQRgXoyRSCEe5MwINqMPn36MGDAAJkuaKaioiJSU1OprKwkJiaGlJQUgoKCWlzXZDLJFIEQbk7CgGhTpkyZQnBwMEVFRaxfv97V7XiMwsLC84LA7NmznRIEoG6KQFVV2rdv75RlxYUQzidhQLQpAQEB3HDDDUDddMHp06dd3JH7OzcIxMbGOm1EoN65lysWQrgnCQOizenVqxcDBw4EYO3atU6/dGtbUlBQQGpqKlVVVbRv357Zs2c75Qqh9WSKQAjPIGFAtEnXXXcdISEhFBcX891337m6Hbf08yAwa9YspwYBgIMHDzqmCNq1a+fU2kII55EwINqkgIAApk2bBsD27dvJyspycUfuJT8/n9TUVEwmkyYjAvXkWgRCeAZNw8CTTz7J0KFDCQkJISYmhptuuonDhw9ruUshHHr06MGgQYOAuukCi8Xi2obcREFBAe+++y4mk4m4uDhmz55NQECA0/dTVVXFyZMnATleQAh3p2kY2LhxIw888ADbt29n3bp11NbWcu2111JVVaXlboVwuO666wgNDaWkpEQWI6JuJcDly5djMpmIj49n1qxZmgQB+N8UQVxcnEwRCOHmNL02wZdffnne7XfeeYeYmBj27NnD2LFjtdx1g1RVdfzbYrGg1+udUtdqtWKz2bBYLOftwx3rWq1WamtrndqnO/P392fatGksX76c3bt30717d1e35DL5+fkcO3YMm83mCAL+/v6a7U+mCITwHJqGgZ8zGo0AF/2UYDabMZvNjtvl5eVA3RuYM44IN5lMjn+/+OKLLa73c/v373d6Ta3qTpw4EUVRnFKr/mfjzKP268OKqqotrtu5c2cGDRrEvn37OH78OEeOHKFnz57OaFOT565Fzby8PNLS0rDZbMTFxTF9+nR0Ol2L93GxXisrK8nMzASgZ8+eTdqPp3xPvbmmVnWlpjY1G0NRW+kjoqqq3HjjjZSWlrJ58+YGt1m4cCGLFi264P60tDSnHNxktVody6J6u/79++Pr26pZsEnmzp1LcXExkZGRTrn6pdls5uDBg47bwcHBtG/f3ilL7bo7k8nE8ePHsdlsBAYG0q1bN3Q6nab7LCoq4syZMwQGBjoteAkhmsZkMpGcnIzRaCQ0NPSS27ZaGHjggQf47LPP2LJlCx07dmxwm4ZGBhISEsjNzXXKymV2u53y8nI2btzIxIkT8fPza3FNqAsZ3333HVdffbXTph6aW7eqqoojR45w+PBhzpw5c97XYmNj6d69O0VFRUybNs2pz3/dunVMmjTJac8/MTGRnJwc4uPjHZ8wW+rHH39kw4YNmEwm7HY7UDdqMGbMGDp16tSsmlo8d2fWzM3NZcWKFdTU1BAXF0dUVBSTJ0/WvNfly5dz6tQprr76akaMGOGUmlr0KTXdq67UdG7N8vJyoqKiGhUGWuWj4W9/+1s+/vhjNm3adNEgAGAwGDAYDBfcr9frnfbNCQ8PR6/XExwc7NQfok6nIygoyOn/2RpTt6KigoMHD5KRkcGpU6fO+1qHDh3o27cvffr0ISIiAqvVyueff46fn59TewXn/pzqpzAURXFazSuuuIIzZ84watQotm/fzvfff8+pU6c4deoUiYmJjBs3jsTExGbVduZzd1bNnJwcRxDo2LEjt99+O99++63mvVZWVjpO5RwwYECz9+WO31Op2Tp1paZzajaljqZhQFVVfvvb37J69Wo2bNhAly5dtNydVykvL3cEgJ+fQ18fAPr27Ut4eLhrGnRjYWFh3HDDDYwZM4YtW7awd+9eMjMzyczMpHPnzo5Q4KxjKlwhOzubZcuWUVNTQ0JCAjNnzsTHp3WWFak/i6BDhw7y+hPCQ2gaBh544AHS0tJYu3YtISEh5OXlAXW/jLU6naktKy8vJyMjg4yMjAvW3O/YsaMjAISFhbmoQ88SFhbG9ddfz+jRo9myZYtjpODdd9+lU6dOjBs3ji5dunhcKMjOzmbp0qWYzWZHEDAYDK22LLNcrlgIz6NpGHj11VcBGD9+/Hn3v/POO8yZM0fLXbcZFouFnTt3cujQoQuOAUhISHBMAUgAaL76UHDuSEFWVhZLly4lISGBcePG0bVrV48IBWfOnGHZsmWYzWY6depEcnJyg1NvWqmoqHBMVUkYEMJzaD5NIJqurKyMjIwMDhw4QE5OjuN8bYBOnTo5AsDlDggRTRMaGsrUqVMZPXo0W7duZc+ePZw+fZply5bRsWNHxo8f79ah4Nwg0LlzZ5KTk512kGhj1Z+x0bFjR5kiEMKDuO+5ZV6mPgBkZGSQnZ193tcSEhLo378/ffr0ISQkxEUdeo/Q0FCmTJlyXiiof6Pt2LEj48aNo1u3bm4VCupDi8VicVkQAJkiEMJTSRhwodLSUkcAyMnJcdyvKAqdO3emZ8+eZGdnc+ONN2pyFLC4tJCQECZPnsyoUaPOCwXLly+nQ4cOjBs3js6dO7u6zfOCQGJiIjNmzHBJECgvL3cczCphQAjPImGglZWUlDgCQG5uruP++gBQPwUQHByM1WqloKDAhd0K+F8oqB8p2L17N9nZ2aSlpREXF4e/v7/LpsSysrJYvny5IwgkJye7LDjWTxEkJCTIMSxCeBgJA62guLjYEQDqz6iAugCQmJjoCABBQUEu7FJcTnBwMNdddx2jRo1i27Zt7N692xHolixZwrhx4+jZs2erTR9kZWWxbNkyrFYrXbp0YcaMGS4dQao/tkVGBYTwPBIGNFJcXMyBAwfIyMggPz/fcb+iKHTp0oW+ffvSu3dvCQAeKDg4mGuvvZZRo0axZcsWdu7cSW5uLu+99x5xcXGMHTuWXr16aRoKTp06xfLly7FarXTt2pXp06e7NAhUVFTIFIEQHkzCgBMVFRVx5MgRMjIyzhveVxSFrl27OgKAM66zIFwvKCiIq6++msrKSkJCQhwjBStXrqR9+/aMGzdOk1CQmZlJWlqa2wQBOH+KQM5yEcLzSBhoocLCQvbv38+hQ4fYt2+f434fHx9HAOjVq5cEgDbM19eXCRMmMHr0aLZt28auXbvIy8tj5cqVxMbGMm7cOHr37u2UUHBuEOjWrRu33367y4MAwKFDhwC5XLEQnkrCQDMUFBQ4jgEoLCx03O/j40O3bt3o06cPvXv3llUWvUxgYCDXXHMNI0eOJD09nZ07d5Kfn8/7779PTEwM48aNo0+fPs0OBSdPnmTFihVYrVa6d+/O7bff7hZXnrRYLI4Fsfr06ePiboQQzeH63yQeQFXV8wJAUVGR42v1IwAWi4Wbb75ZhkgFgYGBTJw40REKduzYQUFBAatWrSImJoaxY8fSt2/fJoWCkydPkpaWRm1trVsFAahbIwPqFsSS178Qnsk9fpu4IVVVyc/PdwSA4uJix9d0Oh3dunVzTAHodDo+//xzGQkQ5wkICODqq68mKSmJ7du3O0LBBx98QHR0tCMUXO4CQidOnGDFihXU1tbSo0cPbrvtNrcJAvC/MCBTBEJ4Lvf5jeIG6gNA/VkAJSUljq/pdDq6d+9O37596dmzJ/7+/o6vtdYFYIRnCggIYMKECYwYMYIdO3awfft2CgsL+fDDD9m4cSNjx46lX79+DYYCdw8CRqMRk8kEyBSBEJ5M098qmzZt4t///jd79uwhNzeX1atXc9NNN2m5yyZTVZW8vDwOHDjAwYMHLwgAPXr0cASA1rzgi2h7AgICGD9+PCNGjHCMFBQVFfHRRx+xadMmRyiod+LECT744ANqa2vp2bMnt956q1sFAfjfgYOdOnWSpbKF8GCa/mapqqpi4MCB3Hnnndx8881a7qpJbDYbubm5jtMAS0tLHV/z9fV1BIAePXq0uQBgtVrlAlIu5u/v7wgF9SMF9aFg48aNjBo1CqPRyKpVq7DZbPTq1YtbbrnF7YIA/G+hod69e7u4EyFES2j622XKlClMmTKl0dubzWbMZrPjdnl5OVD3BuasofhVq1Zx9OhR9u/f77jP19eX7t2707t3b7p3737euu6N2W/9Ns6eLnBmXVVVOXToEJ988onTr22vxfOvDyyqqjqtrhZ9tqSmTqdj5MiRXHXVVezevZudO3dSXFzMxx9/7NimZ8+e3HTTTU75Pjj7+Z8+fdqxAmO3bt3a7M9JarZeXampTc3GUNRW+pioKMplpwkWLlzIokWLLrg/LS3NKefpq6rK/v37sdvtQN2a85GRkYSEhKDT6Vpc3x2pqkplZSV5eXlUVVU57m/fvj3t27d3YWeXNnfuXIqLi4mMjGTx4sWubqdV2Gw2CgsLHUtWGwwGevXqddkDDF3BYrFw+PBhbDYbiqIwYMAAt+xTCG9mMplITk7GaDRe9kwftxp3XLBgAfPnz3fcLi8vJyEhgQkTJhAZGemUfXTr1o1PPvkEq9WK3W5n0qRJREdHt6im1Wpl3bp1TJo0yakLwLSkrqqqZGZmsnnzZsc54DqdjpiYGHJzc8nLy6NXr16MGjXKpX1eTP30jMFgYOrUqU6pqUWfWtQsLS1l6dKlzJ49m/DwcKfUBOf1WlZWxvLly7HZbAQFBREZGcl1113n1t9Tqelev5+kZuvUrB9dbwy3CgMGg6HBOXq9Xu+0b07v3r05cuQIhYWF5Ofnk5aWxuzZs4mJiWlxbWf22dy6qqpy/PhxNm7c6AgBvr6+XHnllYwePRp/f3/efvtt8vLy2LhxIz4+PowdO7bV+7yc+nPwFUVx+vdUi5+TM2tGRETQvXt3wsPDXf56+rn6IGA0GmnXrh3Jycls2bLF7b+nUtM9fj9Jzdat2ZQ6bhUGWouvry8zZszgvffeIy8vj9TUVFJSUpwSCFxFVVWOHTvGxo0byc7OBuqe51VXXcWoUaMcR3pbrVbat29P79692bBhA+vXr0dVVcaNG+fK9oUHKC0tJTU11REEUlJSZG0NIdoIrwwDULdK3OzZs1m6dCm5ubmkpqYye/ZsYmNjXd1ak1wsBAwZMoRRo0YRHBzc4ONGjhyJTqfj22+/ZcOGDaiqyvjx41uxc+FJzg0CkZGRpKSkEBISImtsCNFGaBoGKisrOXbsmOP2yZMn2bdvH+3ataNTp05a7rpRAgICmDVrliMQvPvuux4TCFRV5ejRo2zcuJGcnBygLgQMHTqUkSNHXjQEnGv06NEoisI333zDxo0bHYFAy0vvCs9TUlJCamoq5eXl5wUBIUTboWkY2L17NxMmTHDcrj84MCUlhSVLlmi560arDwTLli0jJyfHMULgrkfaq6rKkSNH2Lhxo+O0Lr1e7wgBQUFBTao3atQoFEVh3bp1bNq0CUACgXA4NwhERUUxe/ZsCQJCtEGahoHx48d7xAI3544Q5OTkOEYI3CkQqKrK4cOH2bhxo+PUs5aEgHONHDkSRVH4+uuv2bRpE6qqMmHCBAkEXq6kpIQlS5ZQUVFBVFQUKSkpjRpxEkJ4Hq89ZuDn/P39HSME2dnZvPvuu8yaNYu4uDiX9lUfArZu3eoIAX5+fo4Q4Iz1FwCSkpIA+Prrr9m8eTOqqnL11VdLIPBSxcXFpKamUlFRQXR0NLNnz5YgIEQbJmHgHP7+/txxxx3nBYLZs2e7JBDUrxh4+PBhfvjhB6AuBAwbNoykpCSnhYBzJSUloSgKX331FVu2bEFVVSZOnCiBwMtIEBDC+0gY+JlzRwjOnDnjGCGIj49vlf2rqsrBgwfZuHEjBQUFQF0IGD58OCNGjNAkBJxrxIgRKIrCl19+ydatWwEkEHiRoqIiUlNTqaysJCYmhtmzZ7doCkoI4RkkDDTAYDA4RgjOnDnD0qVLNQ8EqqqSkZHBpk2bHCHAYDAQHh5OcnLyZZeSdKbhw4ejKApffPEFW7duRVVVrrnmGgkEbZwEASG8lywmfhH1gSAhIYGamhqWLl3qOI/fmex2Oz/99BOvvvoqH3zwAQUFBRgMBsaOHcv9999PXFycSxZ2GTZsmOMiU9u2bWPdunUecTCoaJ7CwkJHEIiNjZUgIISXkZGBSzAYDMycOZPly5dz+vRpxwhBhw4dWlzbbrdz4MABNm3aRFFRkWN/I0aMYMSIEfj7+7t8QZdhw4ahKAqff/456enpqKrKtddeKyMEbUx9EKiqqnIEAa2no4QQ7kXCwGXUB4K0tDSysrJYunQpd9xxBx07dmxWvfqRgE2bNlFcXAzUHacwYsQIhg8fjr+/vzPbb7GhQ4eiKAqfffYZ27dvR1VVrrvuOgkEbURBQQHvvvsuVVVVtG/fnlmzZkkQEMILSRhohHMDwalTp1i2bFmTA4Hdbmf//v1s3rz5vBCQlJTEsGHD3C4EnGvIkCEoisKnn37Kjh07UFWVyZMnSyDwcAUFBaSmpmIymSQICOHlJAw0kp+fH8nJyY5AUD9CkJCQcMnH2e12fvzxRzZv3kxJSQlQt8hRfQho6CqN7uiqq65CURQ++eQTdu7cCeD0QGA0GqmoqGgwZJ05c4aQkBDCwsKctj9vlp+fz7vvvovJZCIuLo5Zs2bJRYeE8GKtcgDhK6+8QpcuXfD39+eqq65i8+bNrbFbp6sPBImJiVgsFpYtW8bp06cb3NZut7Nv3z5efvll1q5dS0lJCQEBAVx99dU89NBDjBkzxmOCQL0rr7ySadOmAbBz506++OILpx1UaDQamTx5MuPGjbvge3r69GnGjRvH5MmTMRqNTtmfN6ufGpAgIISop/nIwMqVK5k3bx6vvPIKo0aN4vXXX2fKlClkZGS4xcWKmurcEYLMzEyWLVvG7bff7vi6zWZzjASUlpYCdVdITEpKYujQoR4XAH7uyiuvRFEUPv74Y3bt2oWqqkyaNKnFdSsqKigoKODEiROMHz8em80G1H0/x48fz4kTJxzbyehA81VXV7N8+XKqq6uJj4/njjvukCAghNA+DDz33HPMnTuXu+66C4Dnn3+er776ildffZUnn3xS691rQq/Xk5yczIoVKzh58iTvvfcenTp1Yt++fWzbto2ysjKgLgSMHDmSoUOH4ufn59qmnWjw4MEoisLatWvZvXs3NpsNu93eopodO3Zkw4YNjjd+nU4H1B3pbrPZ6Nq1Kxs2bGj2gZuibmrg2LFj2Gw24uPjmTVrllsfqyKEaD2KquHJ4xaLhcDAQFatWsUvf/lLx/0PPfQQ+/btY+PGjedtbzabMZvNjtvl5eUkJCTQvn17x5tDS6mqitlsxmAwtHi+W6fTce2119KxY0dUVXXUM5lM/Pjjjxw8eJDa2lq36FWLmj169GDcuHEoikJFRQUrVqxocU2bzeYIAPV0Oh3R0dEtfg24+/dTy5qRkZFMnToVf39/CgoK+OKLL7BYLC2u6ynPX2o6t6ZWdaWmc2va7XZyc3MxGo2XXbhO05GBoqIibDYbsbGx590fGxvruOjOuZ588kkWLVp0wf0NbesulixZwoMPPkh4eDhWq5XvvvuO3bt3u3yNgNaQnZ1NTU0NkydPJjg4GEVRNFmYyWazufVrwN3FxcUxZcoU/P39HStqnhu6hRCiVc4m+HnKOfdT9LkWLFjA/PnzHbfdfWSg3ueff86oUaNYv349VquVmJgYp9T1hPR5+vRpjEYjYWFh9O7du8X1ZGTAuTWjoqIcQSA/P5/PPvuMyMhIt+xVanpOTa3qSk1tRgYa24BmzGazqtPp1I8++ui8+3/3u9+pY8eOvezjjUajCqhFRUVO68lisahr1qxRLRaLW9fUqq4WNTdv3qwuXLhQffvtt1tUJysrS+3atasKqDqd7ry/u3btqmZlZbWovqd8P51VMzs7W33qqafUhQsXqm+99ZZaUVHhtr1KTc+qqVVdqencmvXvoUaj8bLbanpqoZ+fH1dddRXr1q077/5169YxcuRILXctWlH9iEBWVhaVlZXNqnHmzBnHwYNdu3YlOjoagOjoaLp27eo4y+DMmTNO67sty87OZunSpdTU1JCQkMAdd9zh8WeyCCG0o/k6A/Pnz+ett97i7bff5uDBg/z+978nKyuL3/zmN1rvWrSSsLAwx8p1GRkZzaoREhJCTEyM46yB+ikBnU7Hhg0b6Nq1KzExMYSEhDit77bq50Fg5syZEgSEEJek+TEDt99+O8XFxfz9738nNzeX/v378/nnn9O5c2etdy1aUXh4OCaTiYyMDIYNG9bkx4eFhfHll182uAJhQkICGzdulBUIG+HMmTMsW7YMs9lMp06dSE5OliAghLisVjmA8P777+f+++9vjV0JFwkPDycnJ4dTp05RUVHRrE/wYWFhF32zl/UFLu/cINC5c2eSk5Pb1PoWQgjttMpyxKLt8/Pzc1za+eDBgy7uxvvUX2JbgoAQojkkDAin6dOnDwAHDhxwcSfe5fTp0yxbtgyLxUJiYqIEASFEk0kYEE5z7lkF5eXlLu7GO2RlZUkQEEK0mIQB4TShoaGOSzrLVIH2zg0CXbp0ITk5Gb1e7+q2hBAeSMKAcKp+/foBMlWgtVOnTrFs2TKsVitdu3ZlxowZEgSEEM0mYUA4Vf1xA6dPn5apAo1kZmayfPlyRxCYPn26BAEhRItIGBBOFRoaSqdOnYDmL0AkLi4zM5O0tDSsVivdunWTICCEcAoJA8Lp+vbtC8hUgbOdPHnSEQS6d+8uQUAI4TQSBoTT1YeBM2fOYDQaXdxN2/DzIHD77bfj69sqa4YJIbyAhAHhdCEhIY7lpmWqoOVOnDhBWloatbW19OjRQ4KAEMLpJAwITdSPDkgYaJkTJ06wYsUKRxC47bbbJAgIIZxO0zDwxBNPMHLkSAIDAwkPD9dyV8LNnDtVUFZW5tpmPNS5QaBnz54SBIQQmtE0DFgsFm699Vbuu+8+LXcj3FBwcDCJiYmAjA40h9FoZNWqVdTW1tKrVy9uvfVWCQJCCM1o+ttl0aJFACxZsqRR25vNZsxms+N2/XnqVqsVq9XqlJ7q6zirnlY1tarbmjV79epFZmYmBw4cYOjQoU2qqaqq429v+tnX1tby9ddfc/LkSQB69uzJTTfd5JTvgyc8f6npGTW1qis1tanZGIpa/1tXQ0uWLGHevHmXHS5euHChI0CcKy0tjcDAQI26E1qxWq2O0wv79OmDwWBo9GPnzp1LcXExkZGRLF68WKsW3Ybdbqe4uJj8/Hxqa2sB0Ov19OnTBx8fObRHCNF0JpOJ5ORkjEYjoaGhl9zWrcYdFyxYwPz58x23y8vLSUhIYMKECURGRjplH1arlXXr1jFp0iSnnaOtRU2t6rZ2zcrKSk6dOkVcXBwjRoxodM364GAwGJg6darmfbqqptVqZd++faSnp1NZWQnUTbEoisKdd95JcHCwU/p0Rq9SU2pqXVdqOrdmU1aBbXIYuNin93Pt2rWLIUOGNLU0BoOhwU+Per3e6YureEpNreq2Vs3+/ftz6tQpDh06xJgxYxpdS1EUx9+e+twvxWq1smfPHrZu3eoIAaGhoYwZM4Z+/frx9ddfExwcLK8nqenWNbWqKzWdU7MpdZocBh588EGmT59+yW3qDxwTok+fPnz++efk5ORQWlpKRESEq1tyKavVyu7du9m6dStVVVUAhIWFMXr0aAYNGoSvr6/T53aFEOJymhwGoqKiiIqK0qIX0QYFBQWRmJjIyZMnycjIYNSoUa5uySUsFgu7d+9m27Zt54WAMWPGMGjQIHQ6nYs7FEJ4M02PGcjKyqKkpISsrCxsNhv79u0DoHv37k6dCxXurV+/fpw8eZIDBw54XRiwWCzs2rWLbdu2YTKZAAgPD2fMmDEMHDhQQoAQwi1oGgYee+wxUlNTHbcHDx4MwPr16xk/fryWuxZupHfv3nz22Wfk5uZSUlJCu3btXN2S5iwWCzt37iQ9Pd0RAiIiIhgzZgxXXHGFhAAhhFvRNAwsWbKk0WsMiLYrKCiILl26cOLECTIyMhg9erSrW9KM2Wx2jARUV1cDdSFg7NixDBgwQEKAEMItudWphaLt6tu3LydOnODAgQNtMgyYzWa2b99Oenq6IwS0a9fOMRIgawUIIdyZhAHRKvr06cNnn31GXl6eYzGhtsBsNpOXl8crr7ziCAGRkZGMGTOGAQMGSAgQQngECQOiVQQGBtK1a1eOHz9ORkZGk9YccEc1NTXs2LGD7du3U1NTA9SFgLFjx9K/f38JAUIIjyJhQLSavn37cvz4cQ4cOOCxYaCmpobt27ezY8cORwgwGAxMnjxZpgOEEB5LwoBoNfVnFeTn53vcVEF1dbVjJKD+YlrR0dGMHDmSzMxM+vXrJ0FACOGxJAyIVlM/VXDs2DEOHDjA2LFjXd3SZVVXVztGAs4NAePGjaNv377U1tZy6tQpF3cphBAtI2FAtKq+ffty7NgxMjIy3DoMVFdXk56ezo4dO7BYLADExMQwduxY+vbt67h2ghBCtAUSBkSr6t27N59++in5+fkUFRW53dLWJpOJ9PR0du7c6QgBsbGxjB07lj59+kgIEEK0SRIGRKsKCAg4b6pg3Lhxrm4JqAsB27ZtY9euXeeFgHHjxtG7d28JAUKINk2zMJCZmck//vEPvvvuO/Ly8oiPj+eOO+7g0Ucfxc/PT6vdCg/Qr18/x1SBq8NAVVWVIwTUXy2wffv2jBs3jl69ekkIEEJ4Bc3CwKFDh7Db7bz++ut0796dn376ibvvvpuqqiqeeeYZrXYrPECvXr3w8fGhoKCAwsJCoqOjW72Hi4WA8ePH07NnTwkBQgivolkYmDx5MpMnT3bc7tq1K4cPH+bVV1+VMODlAgIC6NatG0ePHuXAgQOtdtEqVVUxm818++237N271xEC4uLiGDdunIQAIYTXatVjBoxG4yWvWGc2mx2nbwGUl5cDYLVaHb+4W6q+jrPqaVVTq7ruUrN3796OMNDQZY1VVXX87YxezWYzy5cvJy8vz3FfXFwcY8aMoVu3biiKQm1tbZPrusv301V1paZ31tSqrtTUpmZjKGr9b12NHT9+nCuvvJJnn32Wu+66q8FtFi5cyKJFiy64Py0tjcDAQK1bFK2otraWAwcOoKoqvXr1IiAg4Lyvz50717Ew0eLFi1u8P4vFQkZGBgCKotCpUyfCw8NlJEAI0WaZTCaSk5MxGo2EhoZectsmh4GLvWGfa9euXQwZMsRxOycnh3HjxjFu3Djeeuutiz6uoZGBhIQEcnNznbZandVqZd26dUyaNAm9Xu+2NbWq6041V61axdGjRxk9evQFaw4kJiaSk5NDfHw8mZmZTulz586dfPfdd9jtdmJiYkhOTm5xyHSn76cr6kpN76ypVV2p6dya5eXlREVFNSoMNHma4MEHH2T69OmX3CYxMdHx75ycHCZMmEBSUhJvvPHGJR9nMBgwGAwX3K/X6536IvakmlrVdYea/fv35+jRoxw6dIirr776vE/p9f9WFMVpfQ4bNowzZ85w+vRpCgoKWLFiBbNnz3bKqJM7fD9dWVdqemdNrepKTefUbEqdJoeBqKioRi8Uk52dzYQJE7jqqqt45513ZO12cZ6ePXui0+koKiqisLCQmJgYzffp7+/PzJkzSUtLIz8/n9TUVGbPnk1QUJDm+xZCCHel2btzTk4O48ePJyEhgWeeeYbCwkLy8vLOO4BLeDd/f3+6d+8OwIEDB1ptv1FRUaSkpBAcHExBQQHvvvsuVVVVrbZ/IYRwN5qFga+//ppjx47x3Xff0bFjR+Li4hx/hKjXt29fAMfBhK3l54EgNTVVAoEQwmtpFgbmzJmDqqoN/hGiXq9evdDpdBQXF1NQUNCq+46KimLOnDmEhIRQWFhIamoqlZWVrdqDEEK4A5nEFy5lMBjo0aMH0LpTBfUiIyNJSUmRQCCE8GoSBoTLuWqqoF5kZCRz5swhNDSUoqIiCQRCCK8jYUC4XM+ePfH19aWkpIT8/HyX9NCuXTtSUlLOCwQVFRUu6UUIIVqbhAHhcq6eKqjXrl27C0YIJBAIIbyBhAHhFuqnCjIyMlx6kGlERARz5swhLCyM4uJiCQRCCK8gYUC4hXOnCly9FkVERAQpKSmOQLBkyRLHRbOEEKItkjAg3IKfn59bTBXUO3eEoKSkhNTUVAkEQog2S8KAcBv9+vUDcFxd0NXCw8OZM2cO4eHhlJSUsGTJEoxGo6vbEkIIp5MwINxGjx498PX1pbS0tNHXv9DauYGgtLSU1NRUCQRCiDZHwoBwG35+fvTs2ROArl27urib/wkLC2POnDlERERQWloqIwRCiDZHwoBwK/VTBe4UBqAuEKSkpBAREUFZWRlLliyhrKzM1W0JIYRTaBoGfvGLX9CpUyf8/f2Ji4tj1qxZ5OTkaLlL4eF69OiBXq8nJCSE+Ph4V7dznvoRgnbt2lFWVkZqaqoEAiFEm6BpGJgwYQLvv/8+hw8f5sMPP+T48ePccsstWu5SeDi9Xu+YKujfv7+Lu7lQaGgoKSkpjkCwfPlyampqXN2WEEK0iK+WxX//+987/t25c2f+8pe/cNNNN2G1WtHr9RdsbzabMZvNjtv1p3JZrVasVqtTeqqv46x6WtXUqq4n1OzRowcHDhxg6NChZGRkuN3PPiAggJkzZ7J8+XJKSkowGo0cP36cbt26OaNNeT1JTbevqVVdqalNzcZQ1FZa7q2kpIT77ruP7OxstmzZ0uA2CxcuZNGiRRfcn5aWRmBgoNYtCjegqiqZmZmOA/S+/fZb/vCHP7i4q4bl5+eTm5sLQHBwMN27d3dxR0II8T8mk4nk5GSMRiOhoaGX3FbzMPDnP/+Zl19+GZPJxIgRI/j000+JjIxscNuGRgYSEhLIzc296GOaymq1sm7dOiZNmtTg6IS71NSqrjvXtNvtrF27loMHD2K32/nmm2/IzMwkMzPTrfoE2Lt3L19++SUAQUFB/OY3v8FgMDijTXk9SU23r6lVXanp3Jrl5eVERUU1Kgw0eZrgYp/ez7Vr1y6GDBkCwMMPP8zcuXM5deoUixYtYvbs2Xz66acoinLB4wwGQ4O/UPV6vVNfxJ5UU6u67lbTZrOxZs0aDh48iI+PD1999RXp6el06NDBrfqEutd3fRAYNmwYZrMZg8Hgdn22Zl2p6Z01taorNZ1Tsyl1mhwGHnzwQaZPn37JbRITEx3/joqKIioqip49e9KnTx8SEhLYvn07SUlJTd21aKNsNhsfffQRGRkZ6HQ6brvtNl5//XVXt9WgnTt38sUXXwCQlJTE+PHjHbeFEMJTNTkM1L+5N0f9jMS5UwHCu9lsNj788EMOHjzoCAL1ZxO4mx07djhGBEaOHMk111xDbW2ti7sSQoiW0+xsgp07d7Jz505Gjx5NREQEJ06c4LHHHqNbt24yKiCAuiDwwQcfcOjQIXQ6HbfffrvjYkXu5twgMGrUKCZOnNjgVJcQQngizdYZCAgI4KOPPmLixIn06tWLX//61/Tv35+NGzc67UAr4bl+HgSmT5/utkFg+/btjiAwevRoCQJCiDZHs5GBAQMG8N1332lVXngwm83GqlWrOHz4sCMIuOtpeenp6Xz99dcAjBkzhgkTJkgQEEK0OZouOiTEz9XW1rJq1SqOHDmCr68v06dPd9piPc62bds21q1bB0gQEEK0bRIGRKvx1CAwduxYxo8fL0FACNFmSRgQraK2tpb333+fo0eP4uvry4wZM9zuyoT1tm7dyjfffAPAuHHjGD9+vGsbEkIIjUkYEJrzpCCwZcsWvv32W0CCgBDCe0gYEJqqra1l5cqVHDt2DF9fX5KTk+nSpYur22rQ5s2bHQe9jh8/nnHjxrm4IyGEaB0SBoRmamtree+99zh+/Dh6vZ7k5OTzVqd0J5s2bWL9+vVA3aW3x44d6+KOhBCi9UgYEJqwWq2sXLnSI4LAxo0b2bBhAwBXX301Y8aMcW1DQgjRyiQMCKezWq289957nDhxAr1ez8yZM+ncubOr22rQuUFg4sSJjB492rUNCSGEC0gYEE5ltVpZsWIFJ0+edPsgsGHDBjZu3AhIEBBCeDfNliM+l9lsZtCgQSiKwr59+1pjl8IFzg0Cfn5+3HHHHW4ZBFRVZf369Y4gcM0110gQEEJ4tVYJA3/605+Ij49vjV0JF7HZbLz//vuOIDBz5kw6derk6rYuoKoqmzZtYtOmTQBMmjSJUaNGubgrIYRwLc2nCb744gu+/vprPvzwQ7nuexukqiqVlZWcOHGCqqoq9Ho9t99+O+3bt8disTS7rq+vL3q9Hl9f3xbVOZfFYiEnJ4fCwkIArr32WrmCphBCoHEYyM/P5+6772bNmjUEBgZednuz2YzZbHbcLi8vB+qGn61Wq1N6qq/jrHpa1dSqrrNrVlZW8uKLL55Xf+nSpS2ue+eddzr+/eSTT7a43s9dc801DBkypMXfB0/4GWlZV2p6Z02t6kpNbWo2hqKqquq0PZ9DVVWmTp3KqFGj+Otf/0pmZiZdunTh+++/Z9CgQQ0+ZuHChSxatOiC+9PS0hoVJkTrKysrIzMz09VtNElcXByxsbGubkMIITRlMplITk7GaDQSGhp6yW2bHAYu9oZ9rl27drFt2zZWrlzJpk2b0Ol0jQoDDY0MJCQkkJubS2RkZFPavCir1cq6deuYNGkSer3ebWtqVdfZNVVVZe/evRw7dowbbrjBaX327duX3Nxc4uLiyMjIcErNvLw81q9fz4wZM/Dz83NKTU/4GWlZV2p6Z02t6kpN59YsLy8nKiqqUWGgydMEDz74INOnT7/kNomJiTz++ONs374dg8Fw3teGDBnCzJkzSU1NveBxBoPhgu0B9Hq9U1/EnlRTq7rOrHnVVVeRn59PUFCQ02rabDasVis2m42goCCn1OzUqRPR0dH4+fm59fdTy5pa1ZWa3llTq7pS0zk1m1KnyWEgKiqKqKioy2734osv8vjjjztu5+TkcN1117Fy5UqGDx/e1N0KIYQQQiOaHUD489PKgoODAejWrRsdO3bUardCCCGEaKJWWWdACCGEEO6r1ZYjTkxMRKMTF4QQQgjRAjIyIIQQQng5CQNCCCGEl5MwIIQQQng5CQNCCCGEl5MwIIQQQng5CQNCCCGEl5MwIIQQQng5CQNCCCGEl5MwIIQQQng5CQNCCCGEl5MwIIQQQng5TcNAYmIiiqKc9+cvf/mLlrsUQgghRBNpfqGiv//979x9992O2/WXMhZCCCGEe9A8DISEhNC+fftGbWs2mzGbzY7bRqMRgJKSEqf1Y7VaMZlMFBcXo9fr3bamVnU9pabNZnP8XVxc7JSanvLc5fUkNd29plZ1paZza1ZUVAA06orBiqrhdYUTExMxm81YLBYSEhK49dZbefjhh/Hz82tw+4ULF7Jo0SKt2hFCCCG8zunTp+nYseMlt9E0DPznP//hyiuvJCIigp07d7JgwQJuvPFG3nrrrQa3//nIQFlZGZ07dyYrK4uwsDCn9FReXk5CQgKnT58mNDTUbWtqVVdqemdNrepKTe+sqVVdqencmqqqUlFRQXx8PD4+lz5EsMnTBI359L5r1y6GDBnC73//e8d9V1xxBREREdxyyy08/fTTREZGXvA4g8GAwWC44P6wsDCnvogBQkNDPaKmVnWlpnfW1Kqu1PTOmlrVlZrOq9nYD9JNDgMPPvgg06dPv+Q2iYmJDd4/YsQIAI4dO9ZgGBBCCCH+v70zj4qy+v/4eyIYFonAEZhRGdkEc0ECQxYXlCA0Ic1dCUU9kaSgppBawzEQxdySXLAO5ZLYCbdIwzERV2QEVCRFVBAFEVdUSEaGz+8Pf3DYhOF5hm95uK9z+IN75nnNZ2buvfN57jKX8b+nzcmASCSCSCTi9GTZ2dkAALFYzOl6BoPBYDAYmqfddhOcOXMG6enp8PT0hJGRERQKBebNmwc/Pz9YWFio5RAKhZDJZM1OHXDldXG2l5c5O6azvbzM2TGd7eVlTs1/TurSbgsIs7KyMHv2bFy5cgVVVVWQSqWYOHEiFi1aBH19/fZ4SgaDwWAwGBxo190EDAaDwWAw/vuwswkYDAaDwejgsGSAwWAwGIwODksGGAwGg8Ho4LBkgMFgMBiMDs5rlQz88ccfcHFxgZ6eHkQiEcaMGcPb2Z7HLFdVVaF///4QCAQ4f/48L1ftlkxdXV2IxWIEBASgpKSEs6+wsBAzZsyApaUl9PT0YG1tDZlMBqVSySvO6OhouLm5QV9fH2+//TYnx8aNG2FpaQldXV04OTnhxIkTvGI6fvw4Ro0aBYlEAoFAgH379vHyAUBMTAwGDBgAQ0NDmJqa4qOPPkJeXh4v56ZNm9CvX7+6XyBzdXXFoUOHeMdan5iYGAgEAoSFhXF2REZGNmkz6h5G1hLFxcWYOnUqOnfuDH19ffTv3x+ZmZm8nM21b4FAgJCQEM7O6upqLF26tK7tWFlZYdmyZaipqeEV69OnTxEWFgapVAo9PT24ublBoVCofX1r9ZyIEBkZCYlEAj09PQwdOhS5ubm8nHv27IGPjw9EIpHa/VxLzhcvXiA8PBx9+/aFgYEBJBIJPvnkE7X6utZijYyMhL29PQwMDGBsbAwvLy+cPXuWl7M+n376KQQCAdatW8fLOW3atCb1tfYH+9qT1yYZSEpKQkBAAKZPn44LFy7g1KlTmDx5skbcy5Ytw507d+r+li5dqhHvokWLIJFINOLy9PTEr7/+iry8PCQlJeH69esYO3YsZ9+VK1dQU1ODLVu2IDc3F2vXrsXmzZuxePFiXnEqlUqMGzcOn332Gafrd+/ejbCwMCxZsgTZ2dkYNGgQfH19UVRUxDmmiooKODg4IC4ujrOjMWlpaQgJCUF6ejrkcjmqq6vh7e2NiooKzs5u3bphxYoVOHfuHM6dO4dhw4bB39+/1Q5bXRQKBeLj49GvXz/ert69ezdoMzk5Obx8jx49gru7O7S1tXHo0CH8/fffWL16NeeEshaFQtEgTrlcDgAYN24cZ+fKlSuxefNmxMXF4fLly4iNjcWqVauwYcMGXrHOnDkTcrkc27dvR05ODry9veHl5YXi4mK1rm+tnsfGxmLNmjWIi4uDQqGAubk53n///bqT7bg4Kyoq4O7ujhUrVqgVY2vOyspKZGVl4auvvkJWVhb27NmDq1evws/Pj5cXAHr27Im4uDjk5OTg5MmT6NGjB7y9vXHv3j3Ozlr27duHs2fPqtXfq+P84IMPGtTbgwcPturlDb0GvHjxgrp27Uo//PCDxt1SqZTWrl2rce/BgwfJ3t6ecnNzCQBlZ2dr1L9//34SCASkVCo15oyNjSVLS0uNuBISEsjIyKjN17333nsUHBzcoMze3p4iIiI0EhcA2rt3r0Zc9SkrKyMAlJaWplGvsbGxRur906dPydbWluRyOQ0ZMoRCQ0M5u2QyGTk4OPCOqT7h4eHk4eGhUWdzhIaGkrW1NdXU1HB2jBw5koKCghqUjRkzhqZOncrZWVlZSVpaWpScnNyg3MHBgZYsWdJmX+N6XlNTQ+bm5rRixYq6sufPn5ORkRFt3ryZk7M+BQUFnPo5ddpjRkYGAaCbN29q1FteXk4A6MiRI7yct2/fpq5du9KlS5fa/H3SnDMwMJD8/f3VdmiK12JkICsrC8XFxXjjjTfg6OgIsVgMX19fjd0x1R6c1L9/f0RHR/MeKr979y5mzZqF7du3t8sPLD18+BA7d+6Em5ubRs8nLy8vh4mJicZ8bUWpVCIzMxPe3t4Nyr29vXH69Ol/KSr1KC8vBwCNvX8qlQqJiYmoqKiAq6srb19ISAhGjhwJLy8vDUQH5OfnQyKRwNLSEhMnTsSNGzd4+Q4cOABnZ2eMGzcOpqamcHR0xNatWzUSay1KpRI7duxAUFAQBAIBZ4+Hhwf++usvXL16FQBw4cIFnDx5EiNGjODsrK6uhkqlgq6uboNyPT09nDx5krO3loKCApSWljZoW0KhEEOGDHkt2pZAIOA9SlQfpVKJ+Ph4GBkZwcHBgbOnpqYGAQEBWLhwIXr37q2x+I4dOwZTU1P07NkTs2bNQllZmcbcr+K1SAZqO5rIyEgsXboUycnJMDY2xpAhQ/Dw4UNe7tDQUCQmJiI1NRWff/451q1bh9mzZ3P2ERGmTZuG4OBgODs784qtMeHh4TAwMEDnzp1RVFSE/fv3a8x9/fp1bNiwAcHBwRpztpX79+9DpVLBzMysQbmZmRlKS0v/pahah4gwf/58eHh4oE+fPrxcOTk56NSpE4RCIYKDg7F371688847vJyJiYnIyspCTEwML08tLi4u2LZtG1JSUrB161aUlpbCzc0NDx484Oy8ceMGNm3aBFtbW6SkpCA4OBhz587Ftm3bNBIz8HIo9/Hjx5g2bRovT3h4OCZNmgR7e3toa2vD0dERYWFhmDRpEmenoaEhXF1d8c0336CkpAQqlQo7duzA2bNncefOHV7xAqhrP69b23r+/DkiIiIwefJkjZzkl5ycjE6dOkFXVxdr166FXC7nfNYO8PJG8s0338TcuXN5x1aLr68vdu7ciaNHj2L16tVQKBQYNmwYqqqqNPYczfI/H4uoh0wmIwAt/ikUCtq5cycBoC1bttRd+/z5cxKJRM0OcanrbY7ffvuNAND9+/c5OdevX09ubm5UXV1NRC0Pn7U1znv37lFeXh4dPnyY3N3dacSIEU2GO7m89uLiYrKxsaEZM2bw+pzqw2WaoLi4mADQ6dOnG5RHRUWRnZ1dm1yvAu0wTTB79mySSqV069Yt3q6qqirKz88nhUJBERERJBKJKDc3l7OvqKiITE1N6fz583VlfKcJGvPs2TMyMzOj1atXc3Zoa2uTq6trg7I5c+bQwIED+YZXh7e3N3344Ye8Pbt27aJu3brRrl276OLFi7Rt2zYyMTGhn376iZf32rVrNHjwYAJAWlpaNGDAAJoyZQr16tWrza7G9fzUqVMEgEpKSho8bubMmeTj48PJWZ/2mCZQKpXk7+9Pjo6OVF5erhHvs2fPKD8/n86cOUNBQUHUo0cPunv3LifnuXPnyMzMjIqLi+vKNDFN0JiSkhLS1tampKQktb1caLeDitRB3eOQaxe41L9DEgqFsLKyanZhWXscs6yuMyoqCunp6U0Om3B2dsaUKVPw888/c46z9sTInj17olevXujevTvS09MbDCO31VlSUgJPT0+4uroiPj6+2cfzeT/bgkgkgpaWVpM7lbKysiZ3NP8V5syZgwMHDuD48ePo1q0bb5+Ojg5sbGwAvKwzCoUC69evx5YtWzj5MjMzUVZWBicnp7oylUqF48ePIy4uDlVVVdDS0uIVs4GBAfr27Yv8/HzODrFY3GQEpFevXkhKSuIVWy03b97EkSNHsGfPHt6uhQsXIiIioq5N9O3bFzdv3kRMTAwCAwM5e62trZGWloaKigo8efIEYrEYEyZMgKWlJe+Ya3d7lJaWNjg19r/atl68eIHx48ejoKAAR48e1cioAPCyrtrY2MDGxgYDBw6Era0tfvzxR3z55Zdtdp04cQJlZWUNDt5TqVRYsGAB1q1bh8LCQo3ELBaLIZVKebUvdfhXkwF1j0N2cnKCUChEXl4ePDw8ALysLIWFhZBKpZy9zfGqY5bVdX733XeIioqq+7+kpAQ+Pj7YvXs3XFxcNBYn/f+REo2HjtriLC4uhqenJ5ycnJCQkIA33mh+1ohPnG1BR0cHTk5OkMvlGD16dF25XC6Hv79/uz9/WyAizJkzB3v37sWxY8c00mG/6nn4DA8OHz68yUr/6dOnw97eHuHh4bwTAeBlHbx8+TIGDRrE2eHu7t5ka+bVq1ebbd9cSEhIgKmpKUaOHMnbVVlZ2aStaGlp8d5aWIuBgQEMDAzw6NEjpKSkIDY2lrfT0tIS5ubmkMvlcHR0BPBy3jwtLQ0rV67k7dcktYlAfn4+UlNTG9yUaRo+7SsgIKDJGhwfH5+6XW+a4sGDB7h161aT7yRN868mA+ry1ltvITg4GDKZDN27d4dUKsWqVasA8NsipIljlhvT+LpOnToBeJn1c71zzMjIQEZGBjw8PGBsbIwbN27g66+/hrW1NefFZSUlJRg6dCgsLCzw7bffNthew2fPeFFRER4+fIiioiKoVKq6fcc2NjZ170VLzJ8/HwEBAXB2dq4brSgqKuK1luHZs2e4du1a3f8FBQU4f/48TExMOH/OISEh+OWXX7B//34YGhrWjWYYGRlBT0+Pk3Px4sXw9fVF9+7d8fTpUyQmJuLYsWP4888/OfmAl3PRjdcx1K474bq+4YsvvsCoUaNgYWGBsrIyREVF4cmTJ7zuiufNmwc3NzcsX74c48ePR0ZGBuLj4185WtUWampqkJCQgMDAQLz5Jv8ub9SoUYiOjoaFhQV69+6N7OxsrFmzBkFBQby8KSkpICLY2dnh2rVrWLhwIezs7NT+YmmtnoeFhWH58uWwtbWFra0tli9fDn19/Ra3aLfmrG3rtb8DUJvQmZubv7IfackpkUgwduxYZGVlITk5GSqVqq5tmZiYQEdHh1OsnTt3RnR0NPz8/CAWi/HgwQNs3LgRt2/fbvE7pLXX3zhR0dbWhrm5Oezs7Dg5TUxMEBkZiY8//hhisRiFhYVYvHgxRCJRgxukdqFdJyE0iFKppAULFpCpqSkZGhqSl5cXXbp0iZczMzOTXFxcyMjIiHR1dcnOzo5kMhlVVFRoKGruc2n1uXjxInl6epKJiQkJhULq0aMHBQcH0+3btzk7ExISXjn/z4fAwMBmnampqWo7vv/+e5JKpaSjo0Pvvvsu7+16qampzcYUGBjI2fmq9y4hIYGzMygoqO51d+nShYYPH06HDx/m7HsVfNcMTJgwgcRiMWlra5NEIqExY8bwWtdQy++//059+vQhoVBI9vb2FB8fz9tJRJSSkkIAKC8vTyO+J0+eUGhoKFlYWJCuri5ZWVnRkiVLqKqqipd39+7dZGVlRTo6OmRubk4hISH0+PFjta9vrZ7X1NSQTCYjc3NzEgqFNHjwYMrJyeHlfFU/IpPJODlr+0sufUhL3n/++YdGjx5NEomEdHR0SCwWk5+fH2VkZPB6/Y1RZ81AS87Kykry9vamLl26kLa2NllYWFBgYCAVFRW16NQE7AhjBoPBYDA6OK/F1kIGg8FgMBjtB0sGGAwGg8Ho4LBkgMFgMBiMDg5LBhgMBoPB6OCwZIDBYDAYjA4OSwYYDAaDwejgsGSAwWAwGIwODksGGAwGg8Ho4LBkgMFgMBiMDg5LBhgMBoPB6OCwZIDBYDAYjA7O/wF4Qg29TwHVXgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 600x545.455 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_dino = translate((8,8), rotate(5 * pi/3, dino_vectors))\n",
    "draw(\n",
    "    Polygon(*dino_vectors, color=gray),\n",
    "    Polygon(*new_dino, color=red)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "e2fd2cdc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习2.43\n",
    "def regular_polygon(n):\n",
    "    return [to_cartesian((1, pi*2*i/n)) for i in range(0, n)]\n",
    "points = regular_polygon(6)\n",
    "draw(Polygon(*points))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "f9fab13b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x555.556 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_dino2 = rotate(5 * pi/3, translate((8,8), dino_vectors))\n",
    "draw(\n",
    "    Polygon(*dino_vectors, color=gray),\n",
    "    Polygon(*new_dino, color=red),\n",
    "    Polygon(*new_dino2, color=blue)\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
